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 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: 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.  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) 0.1 0.15 0.23 0.27 0.15 0.1 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 0.1 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 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

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  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

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 ________.

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?

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?

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) 0.4 0.12 0.08 0.25 0.1 0.05

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

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?

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 0.1 0.35 0.35 0.1 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) (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) 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) 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) 0.4 0.12 0.08 0.25 0.1 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) The probability that the residents of a household own two cars or do not have an income over$65,000 a year is ________.

Question 9 (1 point)

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 ________.

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?

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 0.1 0.35 0.35 0.1 0.05

The variance of the number of accidents is ________.

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  ________.

Question 13(1 point)

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 ________.

Question 16(1 point)

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

Question 17(1 point)

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

Question 18(1 point)

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

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) = ________.

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 ________.

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