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 \[\begin{array} { | l | c | c | c | c | c | } \hline \text { Sex } & \text { O } & \text { A } & \text { B } & \text { AB } & \text { Total } \\ \hline \text { F } & 103 & 95 & 18 & 9 & 225 \\ \hline M & 72 & 69 & 17 & 7 & 165 \\ \hline \text { Total } & 175 & 164 & 35 & 16 & 390 \\ \hline \end{array}\] If a person is selected at random from the sample,find the probability that the person has blood type B.

A) 0.577 B) 0.080 C) 0.090 D) 0.514 E) 0.046 A) 0.577 B) 0.080 C) 0.090 D) 0.514 E) 0.046 C

The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement. Age at Retirement \[\begin{array} { | c | c | c | c | c | c | } \hline \text { Career } & 50 - 55 & 56 - 60 & 61 - 65 & \text { Over 65 } & \text { Total } \\ \hline \text { Attorney } & 8 & 41 & 87 & 36 & 172 \\ \hline \begin{array} { c } \text { College } \\ \text { Professor } \end{array} & 10 & 38 & 71 & 31 & 150 \\ \hline \text { Secretary } & 21 & 45 & 63 & 49 & 178 \\ \hline \text { Store Clerk } & 18 & 44 & 70 & 50 & 182 \\ \hline \text { Total } & 57 & 168 & 291 & 166 & 682 \\ \hline \end{array}\] Suppose one of these people is selected at random.Compute the probability that the person selected was a store clerk.

A) 0.084 B) 0.099 C) 0.316 D) 0.267 E) 0.026 A) 0.084 B) 0.099 C) 0.316 D) 0.267 E) 0.026 D

The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement. Age at Retirement \[\begin{array} { | c | c | c | c | c | c | } \hline \text { Career } & 50 - 55 & 56 - 60 & 61 - 65 & \text { Over 65 } & \text { Total } \\ \hline \text { Attorney } & 10 & 34 & 79 & 42 & 165 \\ \hline \begin{array} { c } \text { College } \\ \text { Professor } \end{array} & 10 & 50 & 81 & 41 & 182 \\ \hline \text { Secretary } & 21 & 45 & 63 & 49 & 178 \\ \hline \text { Store Clerk } & 18 & 44 & 70 & 50 & 182 \\ \hline \text { Total } & 59 & 173 & 293 & 182 & 707 \\ \hline \end{array}\] Find the probability that the person was an attorney and retired before the age of 61.

A) 0.190 B) 0.267 C) 0.048 D) 0.062 E) 0.499 A) 0.190 B) 0.267 C) 0.048 D) 0.062 E) 0.499

The table below describes the smoking habits of a group of asthma sufferers. $\begin{array}{r|crrr} &&Light& Heavy \\ & \text { Nonsmoker } & \text { smoker } & \text { smoker } & \text { Total } \\ \hline \text { Men } & 320 & 78 & 78 & 476 \\ \text { Women } & 393 & 87 & 78 & 558 \\ \text { Total } & 713 & 165 & 156 & 1034 \end{array}$ If one of the 1034 subjects is randomly selected,find the probability that the person chosen is a female nonsmoker.

A) 0.380 B) 0.540 C) 0.551 D) 0.849 E) 0.704 A) 0.380 B) 0.540 C) 0.551 D) 0.849 E) 0.704

Exam 12: From Randomness to Probability

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 103 95 18 9 225 M 72 69 17 7 165 Total 175 164 35 16 390 If a person is selected at random from the sample,find the probability that the person has blood type B.

Free

(Multiple Choice)

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Question 1

Correct Answer:

Verified

C

At the horse racing track,a gambler bets on the wrong horse in a 10-horse field nine times in a row.Later,when talking to a friend,he said he was confident that he would pick the winner the next time,because he was "due to pick a winner." Comment on his reasoning.

Free

(Multiple Choice)

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Question 2

Correct Answer:

Verified

B

The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement. Age at Retirement Career 50-55 56-60 61-65 Over 65 Total Attorney 8 41 87 36 172 College Professor 10 38 71 31 150 Secretary 21 45 63 49 178 Store Clerk 18 44 70 50 182 Total 57 168 291 166 682 Suppose one of these people is selected at random.Compute the probability that the person selected was a store clerk.

Free

(Multiple Choice)

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Question 3

Correct Answer:

Verified

D

Pick cards from a randomly shuffled deck until you get a black card or 4 consecutive red cards; record the cards in order.

(Multiple Choice)

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Question 4

In a business class,33% of the students have never taken a statistics class,42% 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 no more than one semester of statistics?

(Multiple Choice)

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Question 5

Toss a fair coin three times; record the order of heads and tails.

(Multiple Choice)

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Question 6

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 0.60 0.20 0.10 0.10

(Multiple Choice)

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Question 7

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 0.20 0.20 0.40 0.20

(Multiple Choice)

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Question 8

Roll a fair 6-sided die eight times; record the length of the longest run of sixes.

(Multiple Choice)

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Question 9

Of the coffee makers sold in an appliance store,6.0% have either a faulty switch or a defective cord,2.4% have a faulty switch,and 0.3% have both defects.What percent of the coffee makers will have a defective cord?

(Multiple Choice)

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Question 10

Pick 5 cards from a randomly shuffled standard deck without replacement; record the number of eights.

(Multiple Choice)

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Question 11

The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement. Age at Retirement Career 50-55 56-60 61-65 Over 65 Total Attorney 10 34 79 42 165 College Professor 10 50 81 41 182 Secretary 21 45 63 49 178 Store Clerk 18 44 70 50 182 Total 59 173 293 182 707 Find the probability that the person was an attorney and retired before the age of 61.

(Multiple Choice)

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Question 12

In a survey of women who were asked to name their favorite colour,18% said blue,16% said red,17% said green,12% said yellow,and 14% said black.If you pick a survey participant at random,what is the probability that her favorite colour is yellow or black?

(Multiple Choice)

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Question 13

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 0.30 0.35 0.20 0.25

(Multiple Choice)

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Question 14

The table below describes the smoking habits of a group of asthma sufferers. Light Heavy Nonsmoker smoker smoker Total Men 320 78 78 476 Women 393 87 78 558 Total 713 165 156 1034 If one of the 1034 subjects is randomly selected,find the probability that the person chosen is a female nonsmoker.

(Multiple Choice)

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Question 15

A family has two children; record the genders in order of birth.

(Multiple Choice)

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Question 16

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).Aces count as 1 or 11.Kings count as 10.You are interested in the total count of the two cards,with a maximum count of 21 (that is,AsAh = 12).What is the probability that the total count is 21?

(Multiple Choice)

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Question 17

Which of the following are equivalent to the probability of the complement of event A? (i)P( $\mathrm { A } ^ { \mathrm { C } }$ ) (ii)1 - P(A does not occur) (iii)1 - P(A occurs) (iv)P(A does not occur)

(Multiple Choice)

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Question 18

According to a survey conducted by an environmental organization,the probability that an eligible voter cares about environmental issues is 0.61,the probability that an eligible voter voted in the last election is 0.44 and the probability that an eligible voter both voted in the last election and cares about environmental issues is 0.30.Are caring about environmental issues and voting in the last election disjoint events?

(Multiple Choice)

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Question 19

A consumer organization estimates that 34% of the households in a particular community have one television set,39% have two sets,and 20% have three or more sets.What is the probability that a household chosen at random has no more than one television set?

(Multiple Choice)

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Question 20

Exam 12: From Randomness to Probability

At the horse racing track,a gambler bets on the wrong horse in a 10-horse field nine times in a row.Later,when talking to a friend,he said he was confident that he would pick the winner the next time,because he was "due to pick a winner." Comment on his reasoning.

Pick cards from a randomly shuffled deck until you get a black card or 4 consecutive red cards; record the cards in order.

Toss a fair coin three times; record the order of heads and tails.

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 0.60 0.20 0.10 0.10

Roll a fair 6-sided die eight times; record the length of the longest run of sixes.

Of the coffee makers sold in an appliance store,6.0% have either a faulty switch or a defective cord,2.4% have a faulty switch,and 0.3% have both defects.What percent of the coffee makers will have a defective cord?

Pick 5 cards from a randomly shuffled standard deck without replacement; record the number of eights.

In a survey of women who were asked to name their favorite colour,18% said blue,16% said red,17% said green,12% said yellow,and 14% said black.If you pick a survey participant at random,what is the probability that her favorite colour is yellow or black?

The table below describes the smoking habits of a group of asthma sufferers. Light Heavy Nonsmoker smoker smoker Total Men 320 78 78 476 Women 393 87 78 558 Total 713 165 156 1034 If one of the 1034 subjects is randomly selected,find the probability that the person chosen is a female nonsmoker.

A family has two children; record the genders in order of birth.

Which of the following are equivalent to the probability of the complement of event A? (i)P( AC\mathrm { A } ^ { \mathrm { C } }AC ) (ii)1 - P(A does not occur) (iii)1 - P(A occurs) (iv)P(A does not occur)

A consumer organization estimates that 34% of the households in a particular community have one television set,39% have two sets,and 20% have three or more sets.What is the probability that a household chosen at random has no more than one television set?

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Which of the following are equivalent to the probability of the complement of event A? (i)P( $\mathrm { A } ^ { \mathrm { C } }$ ) (ii)1 - P(A does not occur) (iii)1 - P(A occurs) (iv)P(A does not occur)