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# 21 prob/stats multiple choice questions

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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

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

https://brainmass.com/statistics/probability/21-prob-stats-multiple-choice-questions-144681

#### Solution Preview

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Express the indicated degree of likelihood as a probability value.

1)

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

1) A. You have a 1 in 2 (50%) chance of choosing the right answer.

A)
50
B)
0.50
C)
0.9
D)
0.25

2)

"It will definitely turn dark tonight."

2) D. There is a 100% chance.

A)
0.67
B)
0.5
C)
0.30
D)
1

3)

Which of the following cannot be a probability?

3) C. Probabilities have to be between 0 and 1.

A)
0
B)
1
C)
-1
D)

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

Flip a coin twice.

4) B. Each flip can either be H or T.

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) I can't answer this because you didn't include Sue's answer. Could it be because her answer was greater than 1 or less than 0 (see question 3)?

6)

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

6) Probabilities have to be between 0 and 1. You can't have a less than 0% chance of something happening, and you can't have more than a 100% chance of something happening. In problem 2, there was a 100% chance of it being dark ...

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