# Quiz 4: Probability

Statistics

Q 1Q 1

A statistical experiment is a process that,when performed:
A)results in one and only one of two observations
B)results in at least two of many observations
C)may not lead to the occurrence of any outcome
D)results in one and only one of many observations

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Multiple Choice

D

Q 2Q 2

A sample point is
A)a collection of many sample spaces
B)a point that represents a population in a sample
C)an element of a sample space
D)a collection of observations

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Multiple Choice

C

Q 3Q 3

An event
A)is the same as a sample space
B)includes exactly one outcome
C)includes one or more outcomes
D)includes all possible outcomes

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Multiple Choice

C

Q 4Q 4

A simple event
A)is a collection of exactly two outcomes
B)includes one and only one outcome
C)does not include any outcome
D)includes all possible outcomes

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Multiple Choice

Q 5Q 5

A compound event includes
A)at least three outcomes
B)at least two outcomes
C)one and only one outcome
D)all outcomes of an experiment

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Multiple Choice

Q 6Q 6

The experiment of tossing a coin 3 times has
A)2 outcomes
B)8 outcomes
C)6 outcomes
D)5 outcomes

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Multiple Choice

Q 7Q 7

A box contains a few red,a few black,and a few white marbles.Two marbles are randomly drawn from this box and the color of these marbles is observed.The total number of outcomes for this experiment is
A)3
B)6
C)9
D)you can't tell until you know exactly how many marbles are in the box

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Multiple Choice

Q 8Q 8

You randomly select two households and observe whether or not they own a telephone answering machine.Which of the following is a simple event?
A)Exactly one of them owns a telephone answering machine.
B)At least one of them owns a telephone answering machine.
C)At most one of them owns a telephone answering machine.
D)Neither of the two owns a telephone answering machine.

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Multiple Choice

Q 9Q 9

You toss a coin nine times and observe 3 heads and 6 tails.This event is a:
A)compound event
B)simple event
C)multiple outcome
D)multinomial sample point

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Multiple Choice

Q 10Q 10

The probability of an event is always
A)greater than zero
B)less than 1
C)between 0 and 1,inclusive
D)greater than 1

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Multiple Choice

Q 11Q 11

According to the relative frequency concept of probability,the probability of an event is
A)1 divided by the total number of outcomes for the experiment
B)the number of times the given event is observed divided by the total number of repetitions of the experiment
C)the number of outcomes favorable to the given event divided by the sample space
D)the sample space divided by the number of outcomes favorable to the given event

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Multiple Choice

Q 12Q 12

You select one person from a group of eight males and two females.The two events "a male is selected" and "a female is selected" are
A)independent
B)equally likely
C)not equally likely
D)collectively exhaustive

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Multiple Choice

Q 13Q 13

Which of the following values cannot be the probability of an event?
A)0.33
B)2.47
C)0.25
D)1.00

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Multiple Choice

Q 14Q 14

A conditional probability is a probability
A)of a sample space based on a certain condition
B)that an event will occur given that another event has already occurred
C)that an event will occur based on the condition that no other event is being considered
D)that an event will occur based on the condition that no other event has already occurred

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Multiple Choice

Q 15Q 15

A marginal probability is a probability of
A)a sample space
B)an outcome when another outcome has already occurred
C)an event without considering any other event
D)an experiment calculated at the margin

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Multiple Choice

Q 16Q 16

Two mutually exclusive events
A)always occur together
B)can sometimes occur together
C)cannot occur together
D)can occur together,provided one has already occurred

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Multiple Choice

Q 17Q 17

Two events are independent if the occurrence of one event
A)affects the probability of the occurrence of the other event
B)does not affect the probability of the occurrence of the other event
C)means that the second event cannot occur
D)means that the second event is certain to occur

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Multiple Choice

Q 18Q 18

Two complementary events
A)taken together do not include all outcomes for an experiment
B)taken together include all outcomes for an experiment
C)can occur together
D)are always independent

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Multiple Choice

Q 19Q 19

Two events A and B are independent if
A)P(A)is equal to P(B)
B)P(B|A)is equal to P(A)
C)P(A|B)is equal to P(A)
D)P(A|B)is equal to P(B)

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Multiple Choice

Q 20Q 20

The joint probability (rounded to three decimal places)of events "Male" and "No Opinion" is:

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Short Answer

Q 21Q 21

The joint probability (rounded to three decimal places)of events "Republicans" and "Democrats" is:

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Short Answer

Q 22Q 22

The probability that the selected adult has no opinion is: (Round your answer to 2 decimal places.)

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Short Answer

Q 23Q 23

The probability (rounded to three decimal places)that the selected adult is a female or thinks that Democrats have better domestic economic policies is:

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Short Answer

Q 24Q 24

The probability (rounded to three decimal places)that the selected adult has no opinion or is a male is:

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Short Answer

Q 25Q 25

The probability that this adult is a male or doesn't think that Democrats have better domestic economic policies is: (Round your answer to 3 decimal places.)

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Short Answer

Q 26Q 26

The intersection of two events A and B is made up of the outcomes that are:
A)either in A or in B or in both A and B
B)common to both A and B
C)either in A or in B,but not both
D)not common to both A and B

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Multiple Choice

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Multiple Choice

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Multiple Choice

Q 29Q 29

The joint probability of two mutually exclusive events is always equal to (rounded to one decimal place)

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Short Answer

Q 30Q 30

In a class of 49 students,11 are math majors.The teacher selects two students at random from this class.The probability (to three decimal places)that both of them are math majors is:

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Short Answer

Q 31Q 31

The athletic department of a school has 12 full-time coaches,and 4 of them are female.The director selects two coaches at random from this group.The probability (to three decimal places)that neither of them is a female is:

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Short Answer

Q 32Q 32

The probability that a physician is a pediatrician is 0.16.The administration selects two physicians at random.The probability (rounded to three decimal places)that none of them is a pediatrician is:

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Short Answer

Q 33Q 33

The probability that an adult possesses a credit card is 0.71.A researcher selects two adults at random.The probability (rounded to three decimal places)that the first adult possesses a credit card and the second adult does not possess a credit card is:

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Short Answer

Q 34Q 34

The probability that a physician is a pediatrician is 0.24.The administration selects three physicians at random.The probability (rounded to three decimal places)that exactly two of them are pediatricians is:

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Short Answer

Q 35Q 35

The probability that an adult possesses a credit card is 0.77.A researcher selects four adults at random.The probability (rounded to three decimal places)that three of the four adults possess a credit card is:

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Short Answer

Q 36Q 36

The probability that a person is a college graduate is 0.34 and that he/she has high blood pressure is 0.13.Assuming that these two events are independent,the probability (to four decimal places)that a person selected at random is a college graduate and has high blood pressure is

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Short Answer

Q 37Q 37

The probability that a person is a college graduate is 0.40 and that he/she has high blood pressure is 0.18.Assuming that these two events are independent,the probability (to four decimal places)that a person selected at random is a college graduate or has high blood pressure is

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Short Answer

Q 38Q 38

The probability that a corporation made profits in 2005 is 0.80 and the probability that a corporation made charitable contributions in 2005 is 0.25.Assuming that these two events are independent,the probability (rounded to 4 decimal places)that a corporation made profits in 2005 and made charitable contributions in 2005 is:

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Short Answer

Q 39Q 39

The probability that a corporation made profits in 2005 is 0.78 and the probability that a corporation made charitable contributions in 2005 is 0.23.Assuming that these two events are independent,the probability (rounded to 4 decimal places)that a corporation made profits in 2005 or made charitable contributions in 2005,but not both is:

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Short Answer

Q 40Q 40

The probability that an employee of a company is a male is 0.65 and the joint probability that an employee of this company is a male and single is 0.23.The probability (rounded to three decimal places)that a randomly selected employee of this company is single given he is a male is:

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Short Answer

Q 41Q 41

The probability that a farmer is in debt is 0.76.The joint probability that a farmer is in debt and lives in the Midwest is 0.21.The probability (rounded to three decimal places)that a randomly selected farmer lives in the Midwest,given that he is in debt is:

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Short Answer

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Short Answer

Q 43Q 43

A woman owns 15 blouses,10 skirts,and 4 pairs of shoes.She will randomly select one blouse,one skirt,and one pair of shoes to wear on a certain day.The total number of possible outcomes is:

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Short Answer

Q 44Q 44

The union of two events A and B represents the outcomes that are:
A)either in A or in B or in both A and B
B)common to both A and B
C)neither in A nor in B
D)not common to both A and B

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Multiple Choice

Q 45Q 45

The probability of the union of two events A and B is the probability that:
A)neither event A happens nor event B happens
B)both events do not happen together
C)both events A and B happen together
D)either event A or event B or both A and B happen

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Multiple Choice

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Multiple Choice

Q 47Q 47

The probability of the union of two events A and B,that are mutually exclusive,is:
A)
B)
C)
D)

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Multiple Choice

Q 48Q 48

The probability that a student at a university is a male is 0.52,that a student is a business major is 0.17,and that a student is a male and a business major is 0.08.The probability that a randomly selected student from this university is a male or a business major is:

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Short Answer

Q 49Q 49

The probability that a family has at least one child is 0.79,that a family owns a camcorder is 0.19,and that a family has at least one child and owns a camcorder is 0.07.The probability that a randomly selected family has at least one child or owns a camcorder is:

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Short Answer

Q 50Q 50

A company has a total of 575 male employees.Of them,134 are single,276 are married,122 are either divorced or separated,and 43 are widowers.If management selects one male employee at random from the company,the probability (rounded to three decimal places)that this employee is married or a widower is:

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Short Answer

Q 51Q 51

Use the following to answer questions 71-73:
A consume researcher inspects 300 batteries manufactured by two companies for being good or defective.The following table gives the two-way classification of these 300 batteries.
-If the researcher selects one battery at random from these 300 batteries,the probability (rounded to three decimal places)that this battery is good or made by company B is

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Short Answer

Q 52Q 52

Use the following to answer questions 71-73:
A consume researcher inspects 300 batteries manufactured by two companies for being good or defective.The following table gives the two-way classification of these 300 batteries.
-If the researcher selects one battery at random from these 300 batteries,the probability (rounded to three decimal places)that this battery is defective or made by company A is

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Short Answer

Q 53Q 53

Use the following to answer questions 71-73:
A consume researcher inspects 300 batteries manufactured by two companies for being good or defective.The following table gives the two-way classification of these 300 batteries.
-If the researcher selects one battery at random from these 300 batteries,the probability (rounded to three decimal places)that this battery is good or made by company A is

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Short Answer

Q 54Q 54

Use the following to answer questions 71-73:
A consume researcher inspects 300 batteries manufactured by two companies for being good or defective.The following table gives the two-way classification of these 300 batteries.
-The probability that a person drinks at least five cups of coffee per day is 0.31,and the probability that a person has high blood pressure is 0.09.Assuming that these two events are independent,find the probability (to four decimal places)that a person selected at random drinks less than five cups of coffee per day and has high blood pressure.

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Short Answer

Q 55Q 55

Use the following to answer questions 71-73:
A consume researcher inspects 300 batteries manufactured by two companies for being good or defective.The following table gives the two-way classification of these 300 batteries.
-The probability that a person drinks at least five cups of coffee per day is 0.30,and the probability that a person has high blood pressure is 0.09.Assuming that these two events are independent,find the probability (to four decimal places)that a person selected at random drinks less than five cups of coffee per day or has high blood pressure.

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Short Answer

Q 56Q 56

Friends will be called,one after another,and asked to go on a weekend trip with you.You will call until one agrees to go (A)or four friends are asked.What is the tree diagram for the sample space for this experiment?
A)
B)
C)
D)

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Short Answer

Q 57Q 57

Pioneer Of The Nile (A),I Want Revenge (B),and Hold Me Back (C),were the three favorites to win the Kentucky Derby.According to an expert,they should arrive first,second and third,respectively.
The tree diagram for the sample space is given below.
A)Complete the tree diagram from top to bottom
B)State the composition of the event E = [exactly two horses arrived in the predicted place]

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Essay

Q 58Q 58

The sample space is given by the first 15 positive integers.
Consider the events:
A = [odd integers] B = [prime integers]
Make a Venn diagram showing these events.
A)
B)
C)
D)

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Short Answer

Q 59Q 59

From the probabilities shown in this Venn diagram,determine the probability A does not occur.

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Short Answer

Q 60Q 60

From the probabilities shown in this Venn diagram,determine the probability that A occurs and B does not occur.

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Short Answer

Q 61Q 61

From the probabilities shown in this Venn diagram,determine the probability that exactly one of the events A and B occurs.

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Short Answer

Q 62Q 62

In general,"n factorial" represents:
A)the product of any n numbers
B)the sum of all integers from n to 1
C)the product of all integers from n to 1
D)n-1

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Multiple Choice

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Short Answer

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Q 71Q 71

A court randomly selects a jury of 8 persons from a group of 21 persons.The total number of combinations is:

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Short Answer

Q 72Q 72

An investor randomly selects 9 stocks from 11 stocks for an investment portfolio.The total number of combinations is:

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Short Answer

Q 73Q 73

When a person makes an educated guess about the likelihood that an event will occur,it is an example of
A)conditional probability.
B)marginal probability.
C)subjective probability.
D)classical probability.

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Multiple Choice

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Short Answer

Q 75Q 75

Given the table.
What is the probability that a randomly selected Male will answer "Yes" or "No"?

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Short Answer