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Statistics - Multiple Choice Questions

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1) If Larry gets a 70 on a physics test where the mean is 65 and the standard deviation is 5.8, where does he stand in relation to his classmates? (Points: 5)
He is in the top 10%.
He is in the top 20%.
He is in the bottom 20%.
He is in the bottom 10%.

2. Let's assume you have taken 100 samples of size 64 each from a normally distributed population. Calculate the standard deviation of the sample means if the population's variance is 49. (Points: 5)
0.875
0.125
0.766
0.587

3. Find P(11 < x < 16) when mu = 15 and sigma = 3. (Points: 5)
0.6293
0.3707
0.0918
0.5375

4. Interpret a 90% confidence interval of (4.355, 4.445) for a population mean.

5. ) In the standard normal distribution, the variance is always (Points: 5)
0
1
2
none of these

6. The area under a normal curve with mu = 15 and sigma = 2 is (Points: 5)
0
1
2
none of these

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Solution Preview

(1) z = (x - m)/s = (70 - 65)/5.8 = 0.8621

P(z > 0.8621) = 0.1943 or (19.43%), which means Larry is in the top 20%, ...

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21 prob/stats multiple choice questions

Express the indicated degree of likelihood as a probability value.
1)

"You have a 50-50 chance of choosing the correct answer."

1)

_______
A)

50

B)

0.50

C)

0.9

D)

0.25

2)

"It will definitely turn dark tonight."

2)

_______
A)

0.67

B)

0.5

C)

0.30

D)

1

Answer the question.
3)

Which of the following cannot be a probability?

3)

_______
A)

0

B)

1

C)

-1

D)

From the information provided, create the sample space of possible outcomes.
4)

Flip a coin twice.

4)

_______
A)

HT TH

B)

HH HT TH TT

C)

HH TT HT HT

D)

HH HT TT

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
5)

On an exam on probability concepts, Sue had an answer of for one problem. Explain how she knew that this result was incorrect.

5)

_____________

6)

Discuss the range of possible values for probabilities. Give examples to support each.

6)

_____________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the events are mutually exclusive.
7)

Draw one ball colored red from a bag.
Draw one ball colored blue from the same bag.

7)

_______
A)

Yes

B)

No

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
8)

Consider the following formulas: and
Given the same values for n and r in each formula, which is the smaller value, P or C? How does this relate to the concept of counting the number of outcomes based on whether or not order is a criterion?

8)

_____________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the indicated probability.
9)

The table below describes the smoking habits of a group of asthma sufferers.

If one of the 1073 people is randomly selected, find the probability that the person is a man or a heavy smoker.

9)

_______
A)

0.614

B)

0.487

C)

0.545

D)

0.580

10)

A 6-sided die is rolled. Find P(3 or 5).

10)

______
A)

B)

C)

D)

2

Is Event B dependent or independent of Event A?
11)

A: A Chicagoan visits New York on vacation.
B: He visits Central Park.

11)

______
A)

Independent

B)

Dependent

Find the indicated probability.
12)

You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black.

12)

______
A)

B)

C)

D)

Evaluate the expression.
13)

13)

______
A)

1

B)

5

C)

24

D)

120

14)

14)

______
A)

45

B)

80,640

C)

40,320

D)

5

Solve the problem.
15)

How many ways can an IRS auditor select 4 of 10 tax returns for an audit?

15)

______
A)

10,000

B)

5040

C)

210

D)

24

16)

There are 7 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?

16)

______
A)

35

B)

210

C)

5040

D)

343

17)

In a certain lottery, five different numbers between 1 and 36 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning?

17)

______
A)

B)

C)

D)

Identify the given random variable as being discrete or continuous.
18)

The number of freshmen in the required course, English 101

18)

______
A)

Discrete

B)

Continuous

19)

The height of a randomly selected student

19)

______
A)

Discrete

B)

Continuous

Find the mean of the given probability distribution.
20)

20)

______
A)

1.74

B)

1.45

C)

1.64

D)

1.55

21)

A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.50, 0.38, 0.11, and 0.01, respectively.

21)

______
A)

1.50

B)

0.25

C)

1.13

D)

0.63

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