Math


Documents

Order by : Name | Date | Hits | [ Ascendant ]

Practice exam Practice exam

hot!
Date added: 02/11/2017
Date modified: 02/11/2017
Filesize: 44.49 kB
Downloads: 1483

 

Q1

 

Question 1



If two events are mutually exclusive and collectively exhaustive, what is the probability that one or the other occurs?

Ans 1.00

 

 






 

Question 2



The employees of a company were surveyed on questions regarding their educational background (college degree or no college degree) and marital status (single or married). Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. The probability that an employee of the company is single or has a college degree is ________.

Ans 0.733



 

Question 3



The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, the probability that neither the cost is kept within budget nor the campaign will increase sales is ________.

Ans 0.12

 


 

Question 4



According to a survey of American households, the probability that the residents own two cars if annual household income is over $50,000 is 80%. Of the households surveyed, 60% had incomes over $50,000 and 70% had two cars. The probability that the residents do not own two cars if annual household income is not over $50,000 is ________.

Ans None of the other Answers

 

Question 5



A company has two machines that produce widgets. An older machine produces 13% defective widgets, while the new machine produces only 4% defective widgets. In addition, the new machine produces four times as many widgets as the older machine does. What is the probability that a randomly chosen widget produced by the company is defective?

Ans None of the Other Answers

 

Question 6



Mothers Against Drunk Driving is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:

 
https://pilot.wright.edu/content/enforced3/356242-42090.201640/questionlibrarysections/2117270/img509a352910.gif?_&d2lSessionVal=d0y2nzRPSuWRbo41QfMbJLJ4q

 
What proportion of accidents involved alcohol and a single vehicle?

Ans None of the other Answers

 

Question 7



A survey is taken among customers of a fast-food restaurant to determine their preference for hamburger or chicken. Of 200 respondents selected, 75 were children and 125 were adults. 120 preferred hamburger and 80 preferred chicken. 55 of the children preferred hamburger.

 
Assume we know that a person prefers chicken. The probability that this individual is an adult is ________.

Ans None of the other answers

 

Question 8



There are only four empty rooms available in a student dormitory for eleven new freshmen. Each room is considered unique so that it matters who is being assigned to which room. How many different ways can those four empty rooms be filled with one student per room?

Ans None of the other answers

 

Question 9



According to the record of the registrar's office at a state university, 35% of the students are freshman, 25% are sophomore, 16% are junior, and the rest are senior. Among the freshmen, sophomores, juniors, and seniors, the portion of students who live in the dormitory are, respectively, 80%, 60%, 30%, and 20%.

 
If a randomly selected student lives in the dormitory, what is the probability that the student is not a freshman?

Ans 0.468

 

Question 10



True or False: An investment consultant is recommending a certain class of mutual funds to clients based on its exceptionally high probability of gain. It is an ethical practice to explain to clients what the basis of her probability estimate is.

Correct Response

1) True


2) False

Q11





 

Question 11



True or False: The diameters of 10 randomly selected bolts have a binomial distribution.

Ans False

 

Question 12



What type of probability distribution will the consulting firm most likely employ to analyze the insurance claims in the following problem?

 
An insurance company has called a consulting firm to determine if the company has an unusually high number of false insurance claims. It is known that the industry proportion for false claims is 3%. The consulting firm has decided to randomly and independently sample 100 of the company's insurance claims. They believe the number of these 100 that are false will yield the information the company desires.

Ans Binomial distribution

 

Question 13



The following table contains the probability distribution for X = expected temperature in Anchorage, AK on May 4 at noon.
 

X

55

58

61

64

67

70

P(X)

0.10

0.15

0.23

0.27

0.15

0.10


 
the mean or expected value of the temperature is ________.

Ans 62.5600

 

Question 14



The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Corvallis, Oregon.
 

X

0

1

2

3

4

5

P(X)

0.05

0.15

0.25

0.3

0.15

0.10


 
the variance of the number of accidents is ________.

Ans 1.7275

 

Question 15



If X has a binomial distribution with n = 35 and p = 0.7, then P(≥ 26) = ________.

Ans 0.3646

 

Question 16



If n = 12 and p = 0.35 then the population variance of the binomial distribution is ________.

Ans 2.7300

 

Question 17



If X has a Poisson distribution with µ = 16, then P(≤ 18) = ________.

Ans 0.7423

 

Question 18



If µ = 25, then the population standard deviation of the poisson distribution is ________.

Ans 5.0000

 

Question 19



If X has a hypergeometric distribution with n = 25, N=65, and A = 13, then P(≥ 4) = ________.

Ans 0.8298

 

Question 20



If n = 4 and = 6, and A = 3, then the population variance of the hypergeometric distribution is ________.

Ans 0.4000

Discussion 2 Discussion 2

hot!
Date added: 02/21/2017
Date modified: 02/21/2017
Filesize: 16.94 kB
Downloads: 1026

Tell whether or not the recurrence relation in Exercise (Question) 5 is a linear homogeneous recurrence relation with constant coefficients. Give the order of each linear homogeneous recurrence relation with constant coefficients.

Section 7.2, page 356, exercise 5

 5.        an = 7an − 2 − 6an – 3

Exercise (Question) 24 refer to the sequence S1, S2, ..., where Sn denotes the number of n-bit strings that do not contain the pattern 010.

 

24.       By replacing n by n − 1 in (7.1.14), write a formula for Sn−1. Subtract the formula for

Sn − 1 from the formula for Sn and use the result to derive the recurrence relation

Sn = 2Sn − 1Sn − 2 + Sn − 3.

Quiz soln - $4.00 Quiz soln - $4.00

Date added: 03/18/2017
Date modified: 03/18/2017
Filesize: 59.12 kB
Downloads: 7
Price 4.00 USD

QUIZ

Question 1

  1. How many times does the computer print the string "Hello"?
    i = 2
    while (i < 4) {

print ("Hello")

i = i + 1}:

a.

1.

b.

2.

c.

3.

d.

4.

10 points  

Question 2

  1. Which of the following is O(n)?

a.

3n + 1.

b.

n * log(n).

c.

n * n + n.

d.

None of the above.

10 points  

Question 3

  1. If each of the following describes the run time of an algorithm, which of the following could have the longest run time?

a.

O(nlog(n)).

b.

O(n!).

c.

O(n/2).

d.

O(n * n).

10 points  

Question 4

  1. What does the following algorithm return?
    f(n){
    if (n< 2)

return 1

else

return f(n - 1) * n:

a.

n!

b.

The maximum divisor of n.

c.

(n - 1)!

d.

n 2.

10 points  

Question 5

  1. Given that S_n denotes the number of n-bit strings that do not contain the pattern 00, what are the initial conditions?

a.

S_1 = 2, S_2 =3.

b.

S_1 = 1, S_2 =2.

c.

S_1 = 0, S_2 =2.

d.

None of the above.

10 points  

Question 6

  1. Given that S_n denotes the number of n-bit strings that do not contain the pattern 00, what is the recurrence relation?

a.

S_n = S_{n - 1} + S_{n - 2}.

b.

S_n = S_{n - 1} + 1.

c.

S_n = S_{n - 1} + 2.

d.

None of the above.

10 points  

Question 7

  1. Given that S_n denotes the number of n-bit strings that do not contain the pattern 00, what is S_4?

a.

5.

b.

30.

c.

8.

d.

None of these.

10 points  

Question 8

  1. Assume that the number of multiplication terms during the entire calculation within the line "return f(n - 1) * n" is denoted by b_n. Given the following algorithm, what is the initial condition of b_n?
    f(n){
    if (n< 2)

return 1

else

return f(n - 1) * n:

a.

b_1 = 0.

b.

b_2 = 0.

c.

b_2 = 2.

d.

b_1 = 1.

10 points  

Question 9

  1. Assume that the number of multiplications in line return "f(n - 1) * n" is denoted by b_n. Given the following algorithm, what is the recurrence relation of b_n?
    f(n){
    if (n< 2)

return 1

else

return f(n - 1) * n:

a.

b_n =b_{n - 1} + 1.

b.

b_n = n.

c.

b_n = b_{n - 1} + 2.

d.

b_n = n * b_{n - 1}.

10 points  

Question 10

  1. In terms of n, what is the closest-fit worst-case time complexity of the following algorithm?

    f(n){
    if (n< 2)

return 1

else

return f(n - 1) * n:

a.

O(n).

b.

O(log(n)).

c.

O(n!).

d.

None of the above.

 

week 9 CPU2200 - Spreadsheets - $4.00 week 9 CPU2200 - Spreadsheets - $4.00

Date added: 03/19/2012
Date modified: 03/19/2012
Filesize: 76.5 kB
Downloads: 6
Price 4.00 USD

solutions for
week 9 - Excel Chapter 8 Project - Eckart Pet Supplies Analysis Pages EX489 - EX542 of your textbook.
week 9 - Lab 2: Creating Charts for a Sports Department at the end of Excel Chapter 8 of your textbook.

Probablity quiz 2 - $7.00 Probablity quiz 2 - $7.00

Date added: 02/11/2017
Date modified: 02/11/2017
Filesize: 152.99 kB
Downloads: 3
Price 7.00 USD

Question 1 (1 point)

 A survey is taken among customers of a fast-food restaurant to determine their preference for hamburger or chicken. Of 400 respondents selected, 280 were children and the rest were adults. 255 preferred hamburger and the rest preferred chicken. 180 of the children preferred hamburger.

The probability that a randomly selected individual is a child is ________.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

 

 

Question 2 (1 point)

 According to the record of the registrar's office at a state university, 40% of the students are freshmen, 30% are sophomores, 20% are juniors, and the rest are seniors. Among the freshmen, sophomores, juniors, and seniors, the portion of students who live in the dormitory are, respectively, 75%, 55%, 45%, and 30%.

If a randomly selected student does not live in the dormitory, what is the probability that the student is a junior?

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

 

Question 3 (1 point)

 A debate team of 5 is to be chosen from a class of 26 where the order in which the members of the team are chosen does not matter. There are two twin brothers in the class. How many possible ways can the team be formed which will not include any of the twin brothers?

(Round your answer to three decimal places.)

 

If event A and event B cannot occur at the same time, then events A and B are said to be __________.

Question 4 options:

all of the other answers (except for “none of the other answers”)

Mutually exclusive

independent

collectively exhaustive

none of the other answers

 

Question 5 (1 point)

 The quality control manager suspects that a candy plant has an unusually high proportion of improperly packaged chocolate chip bags. It is known that the industry average of packaging errors is 1.25%. The quality control manager randomly and independently samples 500 chocolate chip packages with the belief that the number of these 500 packages with packaging errors will yield the desired information that confirms or refutes his or her suspicions.

What type of probability distribution will the quality control manager of the company most likely employ to analyze packaging of a batch of chocolate chip bags?

Question 5 options:

hypergeometric distribution

none of the other responses

Poisson distribution

all of the other responses (except for “none of the other responses”)

binomial distribution

 

Question 6 (1 point)

 The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Corvallis, Oregon.
 

X

31

20

10

4

12

21

P(X)

0.40

0.12

0.08

0.25

0.10

0.05



The mean or expected value of the number of accidents is ________.

(Round your answer to three decimal places.)

 

Question 7 (1 point)

 Mothers Against Drunk Driving is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:


Number of Vehicles Involved


Did alcohol play a role?

1

2

3

Totals

Yes

70

120

30

220

No

25

175

35

235

Totals

95

295

65

455

Given that two vehicles were involved, what proportion of accidents involved alcohol?

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

Question 8 (1 point)

 According to a survey of American households, the probability that the residents own two cars if annual household income is over $75,000 is 65%. Of the households surveyed, 65% had incomes over $75,000 and 70% had two cars.

The probability that the residents of a household do not own two cars and have an income over $75,000 a year is ________.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

 

Question 9 (1 point)

 The probability that a new advertising campaign will increase sales is assessed as being 0.55. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.57.

Assuming that the two events are independent, the probability that the cost is not kept within budget or the campaign will increase sales is ________.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

 

Question 10 (1 point)

 A company has two machines that produce widgets. An older machine produces 18% defective widgets, while the new machine produces only 3% defective widgets. In addition, the new machine produces 6 times as many widgets as the older machine does.

What is the probability that a randomly chosen widget produced by the company is defective?

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

Question 11 (1 point)

 The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Corvallis, Oregon.
 

X

1

5

9

12

15

36

P(X)

0.05

0.10

0.35

0.35

0.10

0.05



The standard deviation of the number of accidents is ________.

(Round your answer to three decimal places.)

Question 12 (1 point)

 The probability that house sales will increase in the next 6 months is estimated to be 0.60. The probability that interest rates will increase over the next 6 months is 0.65. The probability that house sales and interest rates will go up during the next 6 months is estimated to be 0.45.

The probability that house sales or interest rates will increase during the next 6 months is ________.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

Question 13 (1 point)

 True or False: A hypergeometric distribution requires that sampling be done with replacement.

Question 13 options:

True

False

Question 14 (1 point)

 True or False: An investment consultant is recommending a certain class of mutual funds to clients based on its exceptionally high probability of gain. It is an unethical practice to explain to clients what the meaning of probability is.

Question 14 options:

True

False

Question 15 (1 point)

 If X has a binomial distribution with n = 14 and p = 0.30, then P(X≤7)

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

Question 16 (1 point)

 If n = 17 and p = 0.49 then the mean of the binomial distribution is ________.

(Round your answer to three decimal places.)

Question 17 (1 point)

 If X has a Poisson distribution with µ = 5, then P(X≥11)____.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

Question 18 (1 point)

 If µ = 31, then the mean of the Poisson distribution is ________.

(Round your answer to three decimal places.)

Question 19 (1 point)

 If X has a Hypergeometric distribution with sample size (n) = 5, the number of successes in the population (A) = 8, and the population size (N) = 24, then P(X > 2)= ________.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

Question 20 (1 point)

 If sample size (n) = 12,  the number of successes in the population (A) = 8, and the population size (N) = 21, then the population mean of the Hypergeometric distribution is ________.

(Round your answer to three decimal places.)

 

Question 1 (1 point)

 A survey is taken among customers of a fast-food restaurant to determine their preference for hamburger or chicken. Of 400 respondents selected, 280 were children and the rest were adults. 250 preferred hamburger and the rest preferred chicken. 165 of the children preferred hamburger.

The probability that a randomly selected individual is an adult is ________.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

 

Question 2 (1 point)

 According to the record of the registrar's office at a state university, 35% of the students are freshmen, 30% are sophomores, 25% are juniors, and the rest are seniors. Among the freshmen, sophomores, juniors, and seniors, the portion of students who live in the dormitory are, respectively, 70%, 55%, 45%, and 15%.

If a randomly selected student does not live in the dormitory, what is the probability that the student is a senior?

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

 

Question 3 (1 point)

 A debate team of 7 is to be chosen from a class of 28 where the order in which the members of the team are chosen does not matter. There are two twin brothers in the class. How many possible ways can the team be formed which will not include any of the twin brothers?

(Round your answer to three decimal places.)

Question 4 (1 point)

 If the outcome of event A is not affected by event B, then events A and B are said to be __________.

Question 4 options:

none of the other answers

all of the other answers (except for “none of the other answers”)

independent

mutually exclusive

collectively exhaustive

 

 

Question 5 (1 point)

 A large legal office has 250 desktop computers. Computer related issues do not seem to experience periods of reduced or increased rates of occurrence. The daily average number of computer related issues in the office is 22 spread over ten working hours. The manager is interested in analyzing the probability that the office, in any particular hour, might experience fewer than two computer related issues.

What type of probability distribution will most likely be used to analyze the number of computer related issues that the legal office experiences in any given period of time?

Question 5 options:

all of the other responses (except for “none of the other responses”)

binomial distribution

Poisson distribution

none of the other responses

hypergeometric distribution

 

Question 6 (1 point)

 Question 6 Unsaved

The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Corvallis, Oregon.
 

X

4

25

6

28

24

42

P(X)

0.40

0.12

0.08

0.25

0.10

0.05



The mean or expected value of the number of accidents is ________.

(Round your answer to three decimal places.)

 

Question 7 (1 point)

 Mothers Against Drunk Driving is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:


Number of Vehicles Involved


Did alcohol play a role?

1

2

3

Totals

Yes

70

120

30

220

No

25

175

35

235

Totals

95

295

65

455

Given that two vehicles were involved, what proportion of accidents involved alcohol?

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

Question 8 (1 point)

 According to a survey of American households, the probability that the residents own two cars if annual household income is over $65,000 is 63%. Of the households surveyed, 55% had incomes over $65,000 and 59% had two cars.

The probability that the residents of a household own two cars or do not have an income over $65,000 a year is ________.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

Question 9 (1 point)

 Question 9 Unsaved

The probability that a new advertising campaign will increase sales is assessed as being 0.70. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.50.

Assuming that the two events are independent, the probability that the cost is not kept within budget and the campaign will not increase sales is ________.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

 

Question 10 (1 point)

 A company has two machines that produce widgets. An older machine produces 20% defective widgets, while the new machine produces only 4% defective widgets. However, the older machine produces 5 times as many widgets as the new machine does.

What is the probability that a randomly chosen widget produced by the company is both produced by the new machine and is defective?

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

Question 11 (1 point)

 The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Corvallis, Oregon.
 

X

1

5

9

12

15

13

P(X)

0.05

0.10

0.35

0.35

0.10

0.05



The variance of the number of accidents is ________.

(Round your answer to three decimal places.)

Question 12 (1 point)

 The probability that house sales or interest rates will increase during the next 6 months is 0.83. The probability that interest rates will increase over the next 6 months is 0.70. The probability that house sales and interest rates will go up during the next 6 months is estimated to be 0.41.

The probability that house sales will increase in the next 6 months is estimated to be  ________.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

Question 13 (1 point)

 Question 13 Unsaved

True or False: In a Poisson distribution, the mean and standard deviation are equal.

Question 13 options:

True

False

 

 

Question 14 (1 point)

 True or False: An investment consultant is recommending a certain class of mutual funds to clients based on its exceptionally high probability of exceptionally high gain. It is an unethical practice to tell clients the probability of a loss in her recommendations.

Question 14 options:

True

False

 

 

Question 15 (1 point)

 If X has a binomial distribution with n = 14 and p = 0.46, then P(X≤7)PX≤7 ________.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

 

Question 16 (1 point)

 If n = 48 and p = 0.66 then the mean of the binomial distribution is ________.

(Round your answer to three decimal places.)

 

 

Question 17 (1 point)

 

If X has a Poisson distribution with µ = 6, then P(X≥11)PX≥11 = ________.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

Question 18 (1 point)

 If µ = 25, then the mean of the Poisson distribution is ________.

(Round your answer to three decimal places.)

 

 

Question 19 (1 point)

 If X has a Hypergeometric distribution with sample size (n) = 7, the number of successes in the population (A) = 12, and the population size (N) = 25, then P(X > 2) = ________.

(Round your answer to three decimal places. Express your answers as a probability, not a percentage.)

Question 20 (1 point)

 If sample size (n) = 6,  the number of successes in the population (A) = 11, and the population size (N) = 16, then the population standard deviation of the Hypergeometric distribution is ________.

(Round your answer to three decimal places.)

 

«StartPrev123456789NextEnd»
Page 1 of 9
 
Featured Link:
Homework-Tutors
Get your assignment done at low charges, quality work and within time lines.
Algebra homework help
Our FREE tutors create solvers with work shown, write algebra lessons, help you solve your homework problems.
Homework Anytime
Need help with your assignment and case study. Work with us to get the plagiarism free quality solutions.
Raaviblog
'How To' articles for latest gadgets, web technology and Google Products.