An auto insurance company was interested in investigating accident rates for drivers in different age groups.The following table was based on a random sample of drivers and classifies drivers by age group and accident rate. Age Group \[\begin{array} { | c | c | c | c | } \hline \begin{array} { c } \text { Number of accidents } \\ \text { in past 3 years } \end{array} & \text { Under 25 } & 25 - 45 & \text { Over 45 } \\ \hline 0 & 0.139 & 0.188 & 0.368 \\ \hline 1 & 0.067 & 0.080 & 0.103 \\ \hline > 1 & 0.026 & 0.015 & 0.013 \\ \hline \end{array}\] Suppose one of these people is selected at random.Compute the probability that the person is aged over 45 and has had no accidents in the past three years.

A) 0.368 B) 0.103 C) 0.484 D) 0.529 E) 0.760 A) 0.368 B) 0.103 C) 0.484 D) 0.529 E) 0.760

An online poll asked people what their main source of news was: newspapers,television,internet,or radio.Here are the results: \[\begin{array} { l | l } \text { Response } & \text { Number } \\ \hline \text { Newspapers } & 242 \\ \text { Television } & 394 \\ \text { Internet } & 119 \\ \text { Radio } & 162 \\ \hline \text { Total } & 917 \end{array}\] If we select a person at random from this sample of 917 people,what is the probability that the person responded "Newspapers"?

A) 0.130 B) 0.242 C) 0.177 D) 0.430 E) 0.264 A) 0.130 B) 0.242 C) 0.177 D) 0.430 E) 0.264

The contingency table below provides a joint frequency distribution for a random sample of patients at a hospital classified by blood type and sex. Blood Type \[\begin{array} { | l | c | c | c | c | c | } \hline \text { Sex } & \text { O } & \text { A } & \text { B } & \text { AB } & \text { Total } \\ \hline \text { F } & 96 & 95 & 25 & 9 & 225 \\ \hline M & 74 & 66 & 18 & 7 & 165 \\ \hline \text { Total } & 170 & 161 & 43 & 16 & 390 \\ \hline \end{array}\] If a person is selected at random from the sample,find the probability that the person has blood type A and is female.

A) 0.746 B) 0.590 C) 0.244 D) 0.990 E) 0.422 A) 0.746 B) 0.590 C) 0.244 D) 0.990 E) 0.422

An auto insurance company was interested in investigating accident rates for drivers in different age groups.The following contingency table was based on a random sample of drivers and classifies drivers by age group and number of accidents in the past three years. Age Group \[\begin{array} { | c | c | c | c | c | } \hline \begin{array} { c } \text { Number of accidents } \\ \text { in past 3 years } \end{array} & 45 & \text { Total } \\ \hline 0 & 98 & 145 & 296 & 539 \\ \hline 1 & 60 & 70 & 77 & 207 \\ \hline > 1 & 22 & 5 & 2 & 29 \\ \hline \text { Total } & 180 & 220 & 375 & 775 \\ \hline \end{array}\] If one of these drivers is selected at random,find the probability that the person has had no accidents in the last three years or is younger than 25.

A) 0.928 B) 0.126 C) 0.544 D) 0.182 E) 0.801 A) 0.928 B) 0.126 C) 0.544 D) 0.182 E) 0.801

An auto insurance company was interested in investigating accident rates for drivers in different age groups.The following table was based on a random sample of drivers and classifies drivers by age group and accident rate. Age Group \[\begin{array} { | c | c | c | c | } \hline \begin{array} { c } \text { Number of accidents } \\ \text { in past 3 years } \end{array} & \text { Under 25 } & 25 - 45 & \text { Over 45 } \\ \hline 0 & 0.121 & 0.196 & 0.385 \\ \hline 1 & 0.086 & 0.074 & 0.080 \\ \hline > 1 & 0.025 & 0.014 & 0.019 \\ \hline \end{array}\] Suppose one of these people is selected at random.Compute the probability that the person is aged over 45.

A) 0.548 B) 0.385 C) 0.080 D) 0.795 E) 0.484 A) 0.548 B) 0.385 C) 0.080 D) 0.795 E) 0.484

Exam 12: From Randomness to Probability

An auto insurance company was interested in investigating accident rates for drivers in different age groups.The following table was based on a random sample of drivers and classifies drivers by age group and accident rate. Age Group Number of accidents in past 3 years Under 25 25-45 Over 45 0 0.139 0.188 0.368 1 0.067 0.080 0.103 >1 0.026 0.015 0.013 Suppose one of these people is selected at random.Compute the probability that the person is aged over 45 and has had no accidents in the past three years.

(Multiple Choice)

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Question 41

A survey of the male students at a junior college reveals that,26% play soccer regularly,22% are Latino,and half of the Latino students play soccer regularly.If a male student is selected at random,what is the probability that he is neither Latino nor a soccer player?

(Multiple Choice)

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Question 42

Many stores run "secret sales": Shoppers receive cards that determine how large a discount they get,but the percentage is revealed by scratching off that black stuff only after the purchase has been totaled at the cash register.The store is required to reveal (in the fine print)the distribution of discounts available.Determine whether the following probability assignment is legitimate. Probability of ... 10\% off 20\% off 30\% off 50\% off 0.35 0.75 -0.35 0.25

(Multiple Choice)

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Question 43

The sum of the probabilities of all possible outcomes of a trial must be 1.What rule or law is this?

(Multiple Choice)

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Question 44

An online poll asked people what their main source of news was: newspapers,television,internet,or radio.Here are the results: Response Number Newspapers 242 Television 394 Internet 119 Radio 162 Total 917 If we select a person at random from this sample of 917 people,what is the probability that the person responded "Newspapers"?

(Multiple Choice)

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Question 45

When a weather forecaster predicts a 20% chance of thunderstorms,is this an empirical probability,theoretical probability,or personal probability?

(Multiple Choice)

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Question 46

At a California college,17% of students speak Spanish,6% speak French,and 2% speak both languages.What is the probability that a student chosen at random from the college speaks Spanish but not French?

(Multiple Choice)

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Question 47

Many stores run "secret sales": Shoppers receive cards that determine how large a discount they get,but the percentage is revealed by scratching off that black stuff only after the purchase has been totaled at the cash register.The store is required to reveal (in the fine print)the distribution of discounts available.Determine whether the following probability assignment is legitimate. Probability of ... 10\% off 20\% off 30\% off 50\% off 0 1.00 0 0

(Multiple Choice)

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Question 48

Employment data at a software company reveal that 41% of employees have a computer science degree,36% are women and half of the women have a computer science degree.What is the probability that a randomly chosen employee is female or has a computer science degree?

(Multiple Choice)

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Question 49

The plastic arrow on a spinner for a child's game stops rotating to point at one of four colours that will determine what happens next.Determine whether the following probability assignment is legitimate. Probability of ... Red Yellow Green Blue 0.25 0.35 0.05 0.35

(Multiple Choice)

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Question 50

Consider a game that consists of dealing out a hand of two random cards from a deck of four cards.The deck contains the Ace of Spades (As),the Ace of Hearts (Ah),the King of Spades (Ks)and the 9 of Hearts (9h).

(Multiple Choice)

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Question 51

A survey revealed that 50% of people are entertained by reading books,34% are entertained by watching TV,and 16% are entertained by both books and TV.What is the probability that a person will be entertained by either books or TV?

(Multiple Choice)

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Question 52

The contingency table below provides a joint frequency distribution for a random sample of patients at a hospital classified by blood type and sex. Blood Type Sex O A B AB Total F 96 95 25 9 225 M 74 66 18 7 165 Total 170 161 43 16 390 If a person is selected at random from the sample,find the probability that the person has blood type A and is female.

(Multiple Choice)

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Question 53

In a business class,25% of the students have never taken a statistics class,35% have taken only one semester of statistics,and the rest have taken two or more semesters of statistics.The professor randomly assigns students to groups of three to work on a project for the course.What is the probability that the first group mate you meet has studied some statistics?

(Multiple Choice)

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Question 54

An auto insurance company was interested in investigating accident rates for drivers in different age groups.The following contingency table was based on a random sample of drivers and classifies drivers by age group and number of accidents in the past three years. Age Group Number of accidents in past 3 years <25 25-45 >45 Total 0 98 145 296 539 1 60 70 77 207 >1 22 5 2 29 Total 180 220 375 775 If one of these drivers is selected at random,find the probability that the person has had no accidents in the last three years or is younger than 25.

(Multiple Choice)

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Question 55

What is the probability of an event?

(Multiple Choice)

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Question 56

The weather reporter predicts that there is a 20% chance of snow tomorrow for a certain region.What is meant by this phrase?

(Multiple Choice)

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Question 57

A family has two children.If all outcomes are equally likely,what is the probability that they have a boy and a girl?

(Multiple Choice)

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Question 58

An auto insurance company was interested in investigating accident rates for drivers in different age groups.The following table was based on a random sample of drivers and classifies drivers by age group and accident rate. Age Group Number of accidents in past 3 years Under 25 25-45 Over 45 0 0.121 0.196 0.385 1 0.086 0.074 0.080 >1 0.025 0.014 0.019 Suppose one of these people is selected at random.Compute the probability that the person is aged over 45.

(Multiple Choice)

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Question 59

Consider a game that consists of dealing out a hand of two random cards from a deck of four cards.The deck contains the Ace of Spades (As),the Ace of Hearts (Ah),the King of Spades (Ks)and the 9 of Hearts (9h).What is the probability that you have exactly one Ace?

(Multiple Choice)

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Question 60

Exam 12: From Randomness to Probability

A survey of the male students at a junior college reveals that,26% play soccer regularly,22% are Latino,and half of the Latino students play soccer regularly.If a male student is selected at random,what is the probability that he is neither Latino nor a soccer player?

The sum of the probabilities of all possible outcomes of a trial must be 1.What rule or law is this?

When a weather forecaster predicts a 20% chance of thunderstorms,is this an empirical probability,theoretical probability,or personal probability?

At a California college,17% of students speak Spanish,6% speak French,and 2% speak both languages.What is the probability that a student chosen at random from the college speaks Spanish but not French?

Employment data at a software company reveal that 41% of employees have a computer science degree,36% are women and half of the women have a computer science degree.What is the probability that a randomly chosen employee is female or has a computer science degree?

The plastic arrow on a spinner for a child's game stops rotating to point at one of four colours that will determine what happens next.Determine whether the following probability assignment is legitimate. Probability of ... Red Yellow Green Blue 0.25 0.35 0.05 0.35

Consider a game that consists of dealing out a hand of two random cards from a deck of four cards.The deck contains the Ace of Spades (As),the Ace of Hearts (Ah),the King of Spades (Ks)and the 9 of Hearts (9h).

A survey revealed that 50% of people are entertained by reading books,34% are entertained by watching TV,and 16% are entertained by both books and TV.What is the probability that a person will be entertained by either books or TV?

What is the probability of an event?

The weather reporter predicts that there is a 20% chance of snow tomorrow for a certain region.What is meant by this phrase?

A family has two children.If all outcomes are equally likely,what is the probability that they have a boy and a girl?

Consider a game that consists of dealing out a hand of two random cards from a deck of four cards.The deck contains the Ace of Spades (As),the Ace of Hearts (Ah),the King of Spades (Ks)and the 9 of Hearts (9h).What is the probability that you have exactly one Ace?

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