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1 Marks: 1 ______represents a...

1

Marks: 1 ______represents a variable that is the weighted average of possible variable values in a distribution.

Choose one answer. a. P

b. µ

c. S

d. s

..Question 2

Marks: 1 _______is a variable that can assume only certain, clearly separated values, resulting from a count of some item of interest.

Choose one answer. a. The mean of a probability distribution

b. A continuous random variable

c. The expected value

d. A discrete random variable

e. The standard deviation of a probability distribution

..Question 3

Marks: 1 Please answer questions 3 and 4 based on the following distribution. X P(X)

0 0.3

1 0.2

2 0.2

3 0.1

4 0.1

5 0.1

S(µ)=

Choose one answer. a. 1.0

b. 1.8

c. 2.1

d. 2.4

..Question 4

Marks: 1 The standard deviation of the distribution is:

Choose one answer. a. 0.447

b. 1.58

c. 1.66

d. 2.499

e. 4.623

..Question 5

Marks: 1 A binomial probability distribution:

Choose one answer. a. has a constant probability of success in each trial.

b. determines the result of a trial based on the result of the previous trial.

c. has mutually exclusive outcomes.

d. is determined from an infinite number of trials.

e. both a and c.

f. all of the above.

..Question 6

Marks: 1 A study determines that 60% of the voters in a town intend to vote for the incumbent mayor. If a sample of 8 people is selected the approximate probability, using the binomial formula, that 6 of the 8 people surveyed intend to vote for the incumbent is:

Choose one answer. a. 0.21

b. 0.47

c. 1.28

d. 0.60

..Question 7

Marks: 1 A fair coin is tossed 3 times. The cumulative probability that the number of heads is less than or equal to 2 is:

Choose one answer. a. 0.500

b. 0.675

c. 0.875

d. 0.025

..Question 8

Marks: 1 Please answer questions 8 and 9 using the following information.

Ten accounts are past due for more than 6 months. Four of the accounts are now nonrecoverable. An accountant randomly selects 5 of the 10 accounts. The probabilities for selecting nonrecoverable accounts are as follows: # XXXXX nonrecoverable accounts Probability of selection

0 0.05

1 0.20

2 0.50

3 0.20

4 0.05

The probability of selecting at least 2 nonrecoverable accounts is:

Choose one answer. a. 0.25

b. 0.50

c. 0.75

d. 1.00

..Question 9

Marks: 1 The probability of selecting more than 2 nonrecoverable accounts is:

Choose one answer. a. 0.25

b. 0.75

c. 0.70

d. 0.95

..Question 10

Marks: 1 The proportion of children in a town who like the flavor of a certain soft drink is 0.50. If a random sample of 5 is chosen, the probability that exactly 5 will like the flavor of the drink is:

Choose one answer. a. 0.03125

b. 0.3125

c. 0.500

d. 0.6875

e. 0.96875

..Question 11

Marks: 1 Which of the following is NOT a characteristic of the normal probability distribution?

Choose one answer. a. Bell-shaped

b. Asymptotic

c. Positively skewed

d. Symmetrical

..Question 12

Marks: 1 The standard deviation for a variable, where n = 25, pi = 0.25, is:

Choose one answer. a. 0.3125

b. 1.77

c. 2.165

..Question 13

Marks: 1 For the distribution n = 10, p = 0.4, the probability of x > 7 is:

Choose one answer. a. 0.042

b. 0.055

c. 0.117

d. 0.945

..Question 14

Marks: 1 A sample of 400 people is drawn from a town of 4,000 to determine the probability that an incumbent mayor will win reelection in a two-person runoff. The distribution most applicable to this problem is:

Choose one answer. a. the cumulative probability distribution..

b. the hypergeometric probability distribution.

c. the poisson distribution.

d. binomial distribution.

..Question 15

Marks: 1 For µ = 500; X = 750; and s= 100; Z =

Choose one answer. a. -2.50

b. 0.25

c. 2.50

d. not calculable without additional information.

..Question 16

Marks: 1 For X = 10; s= 3; and Z = -0.67, µ =

Choose one answer. a. 8

b. 12

c. -12

d. not calculable without additional information.

..Question 17

Marks: 1 A population has a mean of 25 and a standard deviation of 5. The area under the normal curve between the mean value and a sample value of 32 is:

Choose one answer. a. 0.3849

b. 0.4192

c. 1.2

d. 1.4

..Question 18

Marks: 1 The area under the standard normal curve between z = 0.68 and z = 1.86 is:

Choose one answer. a. 0.2133

b. 0.2169

c. 0.7203

d. 1.13

..Question 19

Marks: 1 The area under the standard normal curve between z = -0.46 and z = 2.21 is:

Choose one answer. a. 0.132

b. 0.3092

c. 0.6636

d. 1.75

..Question 20

Marks: 1 A firm manufactures batteries for use in handheld appliances. The batteries have a lifetime that is normally distributed with a mean of 36 hours and a standard deviation of 3 hours. The amount of production that will have a life between 30 and 40 hours is:

Choose one answer. a. 6.9%

b. 52.54%

c. 47.72%

d. 88.54%

Marks: 1 ______represents a variable that is the weighted average of possible variable values in a distribution.

Choose one answer. a. P

b. µ

c. S

d. s

..Question 2

Marks: 1 _______is a variable that can assume only certain, clearly separated values, resulting from a count of some item of interest.

Choose one answer. a. The mean of a probability distribution

b. A continuous random variable

c. The expected value

d. A discrete random variable

e. The standard deviation of a probability distribution

..Question 3

Marks: 1 Please answer questions 3 and 4 based on the following distribution. X P(X)

0 0.3

1 0.2

2 0.2

3 0.1

4 0.1

5 0.1

S(µ)=

Choose one answer. a. 1.0

b. 1.8

c. 2.1

d. 2.4

..Question 4

Marks: 1 The standard deviation of the distribution is:

Choose one answer. a. 0.447

b. 1.58

c. 1.66

d. 2.499

e. 4.623

..Question 5

Marks: 1 A binomial probability distribution:

Choose one answer. a. has a constant probability of success in each trial.

b. determines the result of a trial based on the result of the previous trial.

c. has mutually exclusive outcomes.

d. is determined from an infinite number of trials.

e. both a and c.

f. all of the above.

..Question 6

Marks: 1 A study determines that 60% of the voters in a town intend to vote for the incumbent mayor. If a sample of 8 people is selected the approximate probability, using the binomial formula, that 6 of the 8 people surveyed intend to vote for the incumbent is:

Choose one answer. a. 0.21

b. 0.47

c. 1.28

d. 0.60

..Question 7

Marks: 1 A fair coin is tossed 3 times. The cumulative probability that the number of heads is less than or equal to 2 is:

Choose one answer. a. 0.500

b. 0.675

c. 0.875

d. 0.025

..Question 8

Marks: 1 Please answer questions 8 and 9 using the following information.

Ten accounts are past due for more than 6 months. Four of the accounts are now nonrecoverable. An accountant randomly selects 5 of the 10 accounts. The probabilities for selecting nonrecoverable accounts are as follows: # XXXXX nonrecoverable accounts Probability of selection

0 0.05

1 0.20

2 0.50

3 0.20

4 0.05

The probability of selecting at least 2 nonrecoverable accounts is:

Choose one answer. a. 0.25

b. 0.50

c. 0.75

d. 1.00

..Question 9

Marks: 1 The probability of selecting more than 2 nonrecoverable accounts is:

Choose one answer. a. 0.25

b. 0.75

c. 0.70

d. 0.95

..Question 10

Marks: 1 The proportion of children in a town who like the flavor of a certain soft drink is 0.50. If a random sample of 5 is chosen, the probability that exactly 5 will like the flavor of the drink is:

Choose one answer. a. 0.03125

b. 0.3125

c. 0.500

d. 0.6875

e. 0.96875

..Question 11

Marks: 1 Which of the following is NOT a characteristic of the normal probability distribution?

Choose one answer. a. Bell-shaped

b. Asymptotic

c. Positively skewed

d. Symmetrical

..Question 12

Marks: 1 The standard deviation for a variable, where n = 25, pi = 0.25, is:

Choose one answer. a. 0.3125

b. 1.77

c. 2.165

..Question 13

Marks: 1 For the distribution n = 10, p = 0.4, the probability of x > 7 is:

Choose one answer. a. 0.042

b. 0.055

c. 0.117

d. 0.945

..Question 14

Marks: 1 A sample of 400 people is drawn from a town of 4,000 to determine the probability that an incumbent mayor will win reelection in a two-person runoff. The distribution most applicable to this problem is:

Choose one answer. a. the cumulative probability distribution..

b. the hypergeometric probability distribution.

c. the poisson distribution.

d. binomial distribution.

..Question 15

Marks: 1 For µ = 500; X = 750; and s= 100; Z =

Choose one answer. a. -2.50

b. 0.25

c. 2.50

d. not calculable without additional information.

..Question 16

Marks: 1 For X = 10; s= 3; and Z = -0.67, µ =

Choose one answer. a. 8

b. 12

c. -12

d. not calculable without additional information.

..Question 17

Marks: 1 A population has a mean of 25 and a standard deviation of 5. The area under the normal curve between the mean value and a sample value of 32 is:

Choose one answer. a. 0.3849

b. 0.4192

c. 1.2

d. 1.4

..Question 18

Marks: 1 The area under the standard normal curve between z = 0.68 and z = 1.86 is:

Choose one answer. a. 0.2133

b. 0.2169

c. 0.7203

d. 1.13

..Question 19

Marks: 1 The area under the standard normal curve between z = -0.46 and z = 2.21 is:

Choose one answer. a. 0.132

b. 0.3092

c. 0.6636

d. 1.75

..Question 20

Marks: 1 A firm manufactures batteries for use in handheld appliances. The batteries have a lifetime that is normally distributed with a mean of 36 hours and a standard deviation of 3 hours. The amount of production that will have a life between 30 and 40 hours is:

Choose one answer. a. 6.9%

b. 52.54%

c. 47.72%

d. 88.54%

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