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1. If A and B...

1. If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then

P(A l B) =

• 0.76

• 1.00

• 0.24

• 0.2

• None of the above

2. If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then

P(A U B) =

• 0.62

• 0.12

• 0.60

• 0.68

• None of the above

3. If A and B are independent events with P(A) = 0.05 and P(B) = 0.65,

then P(A l B) =

• 0.05

• 0.0325

• 0.65

• 0.8

• None of the above

4. If A and B are mutually exclusive events with P(A) = 0.3 and P(B) =

0.5, then P(A U B) =

• 0.30

• 0.15

• 0.00

• 0.8

• None of the above

5. If A and B are independent with P(A) = 0.3 and P(B) =

0.5, then P(A intersect B) =

• 0.00

• 0.15

• 0.8

• 0.2

• None of the above

6. A lottery is conducted using three urns. Each urn contains chips

numbered from 0 to 9. One chip is selected at random from each

urn. The total number of sample points in the sample space is

• 30

• 100

• 729

• 1000

• None of the above

7. A six-sided die is tossed three times. The probability of observing

three ones in a row is

• 1/3

• 1/6

• 1/27

• 1/216

• None of the above

8. A perfectly balanced coin is tossed 6 times and tails appears on all six

tosses. Then, on the seventh toss

• tails cannot appear

• heads has a much larger chance of appearing than tails

• tails has a better chance of appearing than heads

• heads must appear

• None of the above

9. In a questionnaire, respondents are asked to mark their gender as male or female. Gender is an example of the

a.

ordinal scale

b.

nominal scale

c.

ratio scale

d.

interval scale

10. A random variable that can assume only a finite number of values is

referred to as a(n)

• infinite sequence

• finite sequence

• discrete random variable

• discrete probability function

• None of the above

11. A continuous random variable may assume

• a. any value in the interval or collection of intervals

b. only integral values in an interval or collection of intervals

• c. only fractional values in an interval or collection of intervals

• d. only the positive integral values in an interval

• e. None of the above

12. What is the probability that among the students in the sample exactly

two are female if 8 students are randomly selected from a large student

body that is 60% female?

• 0.0896

• 0.2936

• 0.0413

• 0.0007

• None of the above

13. The number of electrical outages in a city varies from day to day.

Assume the following probability for x (number of outages)

x f(x)

• 0.80

• 0.15

• 0.04

• 0.01

The mean and standard deviation for the number of outages are

• 2.6 and 5.77

• 0.26 and 0.577

• 3 and 0.01

• 0 and 0.8

• 1.25 and 1.25

14. The weight of an object is an example of

• a continuous random variable

• a discrete random variable

• either a continuous or a discrete random variable, depending on the

weight of the object

• either a continuous or a discrete random variable, depending on the

units of measure

• None of the above

15. Four percent of the customers of a mortgage company default on their

payments. A sample of five customers is selected. What is the

probability that exactly two customers in the sample will default on

their payments?

• 0.2592

• 0.0142

• 0.9588

• 0.7408

• 0.0000

16.A local bottling company has determined the number of machine

breakdowns per month and their respective probabilities as shown

below:

Number of Breakdowns Probability

• 0.15

• 0.35

• 0.25

• 0.20

• 0.05

The expected number of breakdowns per month is

• 2

• 1.65

• one since it has the highest probability

• at least 4

• None of the above

17. The Poisson probability distribution is a

• continuous probability distribution

• discrete probability distribution

• uniform probability distribution

• normal probability distribution

• None of the above

Using the following probability distribution for questions 18 and 19

x f(x)

• .2

• .3

• .4

40 .1

18. The expected value of x equals

a. 24

• b. 25

• c. 30

• d. 100

• e. None of the above

19. The variance of x equals

• 9.165

• 84

• 85

• 93.33

• None of the above

For questions 20 through 24 consider the following: The random variable x, which is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3.

20.. The random variable is

• Bernoulli

• Poisson

• Binomial

• Unknown

• None of the above

21. The random variable x is

• discrete

• continuous

• either a or b depending on how the interval is defined

• not enough information is given

• None of the above

22. The expected value of the random variable x is

• 2

• 5.3

• 10

• 2.30

• None of the above

23. The probability that there are 8 occurrences in ten minutes is

• .0241

• .0771

• .1126

• .9107

• None of the above

24. The probability that there are less than 3 occurrences is

• .0659

• .0948

• .1016

• .1239

• None of the above

25. Z is a standard normal random variable. The P(-1.20< =Z<=1.50) =

• 0.0483

• 0.3849

• 0.4332

• 0.8181

• None of the above

26.The probability of a player weighing more than 241.25 pounds on a team with the mean weight of 200 pounds and a standard deviation of 25

pounds is

• 0.4505

• 0.0495

• 0.9505

• 0.9010

• None of the above

27. A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first selection, the probability of an element being selected is

a. 0.100

b. 0.010

c. 0.001

d. 0.002

e. None of the above

28. As the sample size increases,

a. the standard deviation of the population decreases

b. the population mean increases

c. the standard error of the mean decreases

d. the standard error of the mean increases

e. None of the above

29. A population consists of 8 items. the number of different simple random samples of size 3 that can be selected from this population is

a. 24

b. 56

c. 512

d. 128

e. None of the above

30. A simple random sample of 64 observations was taken from a large population. The sample mean and standard deviation were determined to be 320 and 120respectively. The standard error of the mean is

a. 1.875

b. 40

c. 5

d. 15

e. None of the above

31. The number of random samples (without replacement) of size 3 which can be drawn from a population of size 5 is

a. 15

b. 10

c. 20

d. 125

e. None of the above

32. A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the sample mean will be larger than 82 is

a. 0.5228

b. 0.9772

c. 0.4772

d. 0.0228

e. None of the above

33. The fact that the sampling distribution of sample means can be approximated by a normal probability distribution whenever the sample size is large is based on

a. the central limit theorem

b. the fact that we have tables of areas for the normal distribution'

c. the assumption that the population has a normal distribution

d. All of the above are correct

e. None of the above are correct

34. The z value for 97.8% confidence interval estimation is

a. 2.02

b. 1.96

c. 2.00

d. 2.29

e. None of the above

35. The t value with a 95% confidence and 24 degrees of freedom is

a. 1.711

b. 2.064

c. 2.492

d. 2.069

e. None of the above

36. As the sample size increases, the sampling error

a. increases

b. decreases

c. stays the same

d. none of the above

37. The manager of a grocery store has a taken a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is one minute.

The 95% confidence interval for the true average checkout time is

a. 3 to 5

b. 1.36 to 4.64

c. 1 to 5

d. 1.04 to 4.96

e. None of the above

P(A l B) =

• 0.76

• 1.00

• 0.24

• 0.2

• None of the above

2. If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then

P(A U B) =

• 0.62

• 0.12

• 0.60

• 0.68

• None of the above

3. If A and B are independent events with P(A) = 0.05 and P(B) = 0.65,

then P(A l B) =

• 0.05

• 0.0325

• 0.65

• 0.8

• None of the above

4. If A and B are mutually exclusive events with P(A) = 0.3 and P(B) =

0.5, then P(A U B) =

• 0.30

• 0.15

• 0.00

• 0.8

• None of the above

5. If A and B are independent with P(A) = 0.3 and P(B) =

0.5, then P(A intersect B) =

• 0.00

• 0.15

• 0.8

• 0.2

• None of the above

6. A lottery is conducted using three urns. Each urn contains chips

numbered from 0 to 9. One chip is selected at random from each

urn. The total number of sample points in the sample space is

• 30

• 100

• 729

• 1000

• None of the above

7. A six-sided die is tossed three times. The probability of observing

three ones in a row is

• 1/3

• 1/6

• 1/27

• 1/216

• None of the above

8. A perfectly balanced coin is tossed 6 times and tails appears on all six

tosses. Then, on the seventh toss

• tails cannot appear

• heads has a much larger chance of appearing than tails

• tails has a better chance of appearing than heads

• heads must appear

• None of the above

9. In a questionnaire, respondents are asked to mark their gender as male or female. Gender is an example of the

a.

ordinal scale

b.

nominal scale

c.

ratio scale

d.

interval scale

10. A random variable that can assume only a finite number of values is

referred to as a(n)

• infinite sequence

• finite sequence

• discrete random variable

• discrete probability function

• None of the above

11. A continuous random variable may assume

• a. any value in the interval or collection of intervals

b. only integral values in an interval or collection of intervals

• c. only fractional values in an interval or collection of intervals

• d. only the positive integral values in an interval

• e. None of the above

12. What is the probability that among the students in the sample exactly

two are female if 8 students are randomly selected from a large student

body that is 60% female?

• 0.0896

• 0.2936

• 0.0413

• 0.0007

• None of the above

13. The number of electrical outages in a city varies from day to day.

Assume the following probability for x (number of outages)

x f(x)

• 0.80

• 0.15

• 0.04

• 0.01

The mean and standard deviation for the number of outages are

• 2.6 and 5.77

• 0.26 and 0.577

• 3 and 0.01

• 0 and 0.8

• 1.25 and 1.25

14. The weight of an object is an example of

• a continuous random variable

• a discrete random variable

• either a continuous or a discrete random variable, depending on the

weight of the object

• either a continuous or a discrete random variable, depending on the

units of measure

• None of the above

15. Four percent of the customers of a mortgage company default on their

payments. A sample of five customers is selected. What is the

probability that exactly two customers in the sample will default on

their payments?

• 0.2592

• 0.0142

• 0.9588

• 0.7408

• 0.0000

16.A local bottling company has determined the number of machine

breakdowns per month and their respective probabilities as shown

below:

Number of Breakdowns Probability

• 0.15

• 0.35

• 0.25

• 0.20

• 0.05

The expected number of breakdowns per month is

• 2

• 1.65

• one since it has the highest probability

• at least 4

• None of the above

17. The Poisson probability distribution is a

• continuous probability distribution

• discrete probability distribution

• uniform probability distribution

• normal probability distribution

• None of the above

Using the following probability distribution for questions 18 and 19

x f(x)

• .2

• .3

• .4

40 .1

18. The expected value of x equals

a. 24

• b. 25

• c. 30

• d. 100

• e. None of the above

19. The variance of x equals

• 9.165

• 84

• 85

• 93.33

• None of the above

For questions 20 through 24 consider the following: The random variable x, which is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3.

20.. The random variable is

• Bernoulli

• Poisson

• Binomial

• Unknown

• None of the above

21. The random variable x is

• discrete

• continuous

• either a or b depending on how the interval is defined

• not enough information is given

• None of the above

22. The expected value of the random variable x is

• 2

• 5.3

• 10

• 2.30

• None of the above

23. The probability that there are 8 occurrences in ten minutes is

• .0241

• .0771

• .1126

• .9107

• None of the above

24. The probability that there are less than 3 occurrences is

• .0659

• .0948

• .1016

• .1239

• None of the above

25. Z is a standard normal random variable. The P(-1.20< =Z<=1.50) =

• 0.0483

• 0.3849

• 0.4332

• 0.8181

• None of the above

26.The probability of a player weighing more than 241.25 pounds on a team with the mean weight of 200 pounds and a standard deviation of 25

pounds is

• 0.4505

• 0.0495

• 0.9505

• 0.9010

• None of the above

27. A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first selection, the probability of an element being selected is

a. 0.100

b. 0.010

c. 0.001

d. 0.002

e. None of the above

28. As the sample size increases,

a. the standard deviation of the population decreases

b. the population mean increases

c. the standard error of the mean decreases

d. the standard error of the mean increases

e. None of the above

29. A population consists of 8 items. the number of different simple random samples of size 3 that can be selected from this population is

a. 24

b. 56

c. 512

d. 128

e. None of the above

30. A simple random sample of 64 observations was taken from a large population. The sample mean and standard deviation were determined to be 320 and 120respectively. The standard error of the mean is

a. 1.875

b. 40

c. 5

d. 15

e. None of the above

31. The number of random samples (without replacement) of size 3 which can be drawn from a population of size 5 is

a. 15

b. 10

c. 20

d. 125

e. None of the above

32. A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the sample mean will be larger than 82 is

a. 0.5228

b. 0.9772

c. 0.4772

d. 0.0228

e. None of the above

33. The fact that the sampling distribution of sample means can be approximated by a normal probability distribution whenever the sample size is large is based on

a. the central limit theorem

b. the fact that we have tables of areas for the normal distribution'

c. the assumption that the population has a normal distribution

d. All of the above are correct

e. None of the above are correct

34. The z value for 97.8% confidence interval estimation is

a. 2.02

b. 1.96

c. 2.00

d. 2.29

e. None of the above

35. The t value with a 95% confidence and 24 degrees of freedom is

a. 1.711

b. 2.064

c. 2.492

d. 2.069

e. None of the above

36. As the sample size increases, the sampling error

a. increases

b. decreases

c. stays the same

d. none of the above

37. The manager of a grocery store has a taken a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is one minute.

The 95% confidence interval for the true average checkout time is

a. 3 to 5

b. 1.36 to 4.64

c. 1 to 5

d. 1.04 to 4.96

e. None of the above

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