Question 1 Suppose you have a distribution, X, with mean = 29 and standard deviation = 6. Define a new random variable Y = 4X - 5. Find the mean and standard deviation of Y.

a)E[Y] = 111; _Y= 19

b)E[Y] = 116; _Y= 96

c)E[Y] = 111; _Y= 96

d)E[Y] = 116; _Y= 19

e)E[Y] = 111; _Y= 24

f)None of the above

Question 2 Which statement is not true for a binomial distribution with n = 15 and p = 1/20 ?

a)The standard deviation is 0.8441

b)The number of trials is equal to 15

c)The probability thatxequals 1 is 0.3658

d)The highest probability occurs whenxequals 0.7500

e)The mean equals 0.7500

f)None of the above

Question 3 In testing a new drug, researchers found that 6% of all patients using it will have a mild side effect. A random sample of 11 patients using the drug is selected. Find the probability that none will have this mild side effect.

a)0.0609

b)0.5063

c)0.4937

d)0.3063

e)0.9400

f)None of the above

Question 4 In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 9 patients using the drug is selected. Find the probability that at least one will have this mild side effect.

a)0.5000

b)0.6618

c)0.3698

d)0.9500

e)0.0500

f)None of the above

Question 5 In testing a new drug, researchers found that 7% of all patients using it will have a mild side effect. A random sample of 13 patients using the drug is selected. Find the probability that exactly two will have this mild side effect.

a)0.2020

b)0.1720

c)0.1820

d)0.2120

e)0.2220

f)None of the above

Question 6 A manufacturer of matches randomly and independently puts 21 matches in each box of matches produced. The company knows that one-tenth of 8 percent of the matches are flawed. What is the probability that a matchbox will have one or fewer matches with a flaw?

a)0.006813

b)0.9878

c)0.9920

d)0.1431

e)0.8448

f)None of the above

Question 7 Suppose you have a binomial distribution withn= 29 andp= 0.4. Find P(6 X 7).

a)0.1153

b)0.2490

c)0.0153

d)0.0490

e)0.0930

f)None of the above

Question 8 Each year a company selects a number of employees for a management training program. On average, 30 percent of those sent complete the program. Out of the 21 people sent, what is the probability that exactly 4 complete the program?

a)0.1983

b)0.1127

c)0.2983

d)0.3127

e)0.1567

f)None of the above

Question 9 Each year a company selects a number of employees for a management training program. On average, 60 percent of those sent complete the program. Out of the 27 people sent, what is the probability that 11 or more complete the program?

a)0.9663

b)0.1336

c)0.9866

d)0.0133

e)0.0336

f)None of the above

Question 10 A fish tank in a pet store has 24 fish in it. 7 are orange and 17 are white. Determine the probability that if we select 4 fish from the tank, at least 2 will be white.

a)0.0812

b)0.7083

c)0.9407

d)0.0592

e)1.1607

f)None of the above

Question 11 Identify the following distribution as binomial, geometric or neither.

A manufacturer produces a large number of toasters. From past experience, the manufacturer knows that approximately 1% are defective. In a quality control procedure, we randomly select 50 toasters for testing. We want to determine the probability that no more than one of these toasters is defective.

a)Binomial

b)Geometric

c)Neither

Question 12 A quarter back completes 55% of his passes. We want to observe this quarterback during one game to see how many pass attempts he makes before completing one pass. What is the probability that the quarterback throws 7 incomplete passes before he has a completion?

a)0.0229

b)0.9979

c)0.0020

d)0.9990

e)0.0009

f)None of the above

Question 13 A quarter back completes 15% of his passes. We want to observe this quarterback during one game to see how many pass attempts he makes before completing one pass. Determine the probability that it takes more than 15 attempts before he completes a pass.

a)0.9868

b)0.0873

c)0.9126

d)0.0131

e)0.0351

f)None of the above

Question 14 Joe has an 53% probability of passing his statistics quiz 4 each time he takes it. What is the probability he will take no more than 4 tries to pass it?

a)0.0478

b)0.0487

c)0.9512

d)0.0258

e)0.9741

f)None of the above

Question 15 Joe has an 10% probability of passing his statistics quiz 4 each time he takes it. How many times should Joe expect to take his quiz before passing it?

a)21

b)12

c)9

d)10

e)70

f)None of the above