An online poll asked people how likely they were to see a new movie that was coming out in the summer.Here's how they responded: \[\begin{array} { l | l } \text { Response } & \text { Number } \\ \hline \text { Will definitely see it } & 215 \\ \text { Will probably see it } & 268 \\ \text { Will probably not see it } & 349 \\ \text { Will definitely not see it } & 374 \\ \hline \text { Total } & 1206 \end{array}\] Let's call someone who responded that they would definitely or probably see it a "likely viewer" and the other two categories,"unlikely viewer." If we select two people at random from this sample,what is the probability that both are likely viewers?

A) 0.161 B) 0.359 C) 0.801 D) 0.032 E) 0.400 A) 0.161 B) 0.359 C) 0.801 D) 0.032 E) 0.400

The table shows the political affiliation of voters in one city and their positions on raising taxes. Raising Taxes \[\begin{array} { l | c | c } & \text { Favour } & \text { Oppose } \\ \hline \text { NDP } & 0.09 & 0.28 \\ \text { Conservative } & 0.23 & 0.12 \\ \text { Other } & 0.14 & 0.14 \end{array}\] What is the probability that a Conservative supporter opposes raising taxes?

A) 0.540 B) 0.350 C) 0.222 D) 0.343 E) 0.120 A) 0.540 B) 0.350 C) 0.222 D) 0.343 E) 0.120

An online poll asked people how likely they were to see a new movie that was coming out in the summer.Here's how they responded: \[\begin{array} { l | l } \text { Response } & \text { Number } \\ \hline \text { Will definitely see it } & 217 \\ \text { Will probably see it } & 275 \\ \text { Will probably not see it } & 308 \\ \text { Will definitely not see it } & 397 \\ \hline \text { Total } & 1197 \end{array}\] Let's call someone who responded that they would definitely or probably see it a "likely viewer" and the other two categories,"unlikely viewer." If we select two people at random from this sample,what is the probability that neither is a likely viewer?

A) 0.169 B) 0.066 C) 0.347 D) 0.589 E) 0.110 A) 0.169 B) 0.066 C) 0.347 D) 0.589 E) 0.110

The table shows the political affiliation of voters in one city and their positions on raising taxes. Raising Taxes \[\begin{array} { l | c | c } & \text { Favour } & \text { Oppose } \\ \hline \text { NDP } & 0.08 & 0.29 \\ \text { Conservative } & 0.26 & 0.15 \\ \text { Other } & 0.14 & 0.08 \end{array}\] Are party affiliation and position on raising taxes independent? Explain.

A) Yes; 63.4% of Conservative supporters favor raising taxes,and 63.4% of NDP supporters favour raising taxes. B) No; P(Conservative and Favour)= 0.26; P(NDP and Favour)= 0.08. These are not equal C) No; 63.4% of Conservative supporters favour raising taxes,but only 21.6% of NDP supporters favour raising taxes. D) Yes; a voter who favours raising taxes cannot be both a Conservative supporter and an NDP supporter. E) No; 8% of voters both favour raising taxes and are NDP supporters. A) Yes; 63.4% of Conservative supporters favor raising taxes,and 63.4% of NDP supporters favour raising taxes. B) No; P(Conservative and Favour)= 0.26; P(NDP and Favour)= 0.08. These are not equal C) No; 63.4% of Conservative supporters favour raising taxes,but only 21.6% of NDP supporters favour raising taxes. D) Yes; a voter who favours raising taxes cannot be both a Conservative supporter and an NDP supporter. E) No; 8% of voters both favour raising taxes and are NDP supporters.

Exam 13: Probability Rules

An online poll asked people how likely they were to see a new movie that was coming out in the summer.Here's how they responded: Response Number Will definitely see it 215 Will probably see it 268 Will probably not see it 349 Will definitely not see it 374 Total 1206 Let's call someone who responded that they would definitely or probably see it a "likely viewer" and the other two categories,"unlikely viewer." If we select two people at random from this sample,what is the probability that both are likely viewers?

(Multiple Choice)

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Question 41

The table shows the political affiliation of voters in one city and their positions on raising taxes. Raising Taxes Favour Oppose NDP 0.09 0.28 Conservative 0.23 0.12 Other 0.14 0.14 What is the probability that a Conservative supporter opposes raising taxes?

(Multiple Choice)

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Question 42

An online poll asked people how likely they were to see a new movie that was coming out in the summer.Here's how they responded: Response Number Will definitely see it 217 Will probably see it 275 Will probably not see it 308 Will definitely not see it 397 Total 1197 Let's call someone who responded that they would definitely or probably see it a "likely viewer" and the other two categories,"unlikely viewer." If we select two people at random from this sample,what is the probability that neither is a likely viewer?

(Multiple Choice)

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Question 43

Shameel has a flight to catch on Monday morning.His father will give him a ride to the airport.If it rains,the traffic will be bad and the probability that he will miss his flight is 0.04.If it doesn't rain,the probability that he will miss his flight is 0.01.The probability that it will rain on Monday is 0.28.Are rain and Shameel missing his flight independent events? Explain.

(Multiple Choice)

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Question 44

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).Given that the hand contains the Ace of Spades,what is the probability that it contains both Aces?

(Multiple Choice)

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Question 45

A teacher designs a test so that 92% of students who study will pass and 7% of students who don't study will pass.94% of students study for a test.What is the probability that a randomly selected student passes?

(Multiple Choice)

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Question 46

A manufacturing process has a 74% yield,meaning that 74% of the products are acceptable and 26% are defective.If three of the products are randomly selected,find the probability that all of them are acceptable.

(Multiple Choice)

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Question 47

You roll a fair die three times.What is the probability that you roll all 2's?

(Multiple Choice)

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Question 48

In a business class,15% of the students have never taken a statistics class,40% 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.Assume everyone in the group is independent.What is the probability that both of your two group mates have studied at least one semester of statistics?

(Multiple Choice)

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Question 49

You are dealt a hand of three cards,one at a time.Find the probability that you get no black cards.

(Multiple Choice)

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Question 50

A box contains 14 batteries of which 6 are still working.Anne starts picking batteries one at a time from the box and testing them.Find the probability that at least one of the first four works.

(Multiple Choice)

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Question 51

Applicants for a job first submit a written application.Based on the written applications,37% of the applicants are invited for a first interview.Of those that have a first interview,58% are rejected after the interview.What is the probability that a randomly selected applicant receives a first interview and is rejected after the interview?

(Multiple Choice)

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Question 52

In a business class,10% 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.Assume everyone in the group is independent.What is the probability that at least one of your two group mates has had more than one semester of statistics?

(Multiple Choice)

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Question 53

A consumer organization estimates that 35% of the households in a particular community have one television set,39% have two sets,and 16% have three or more sets.If two independent households are chosen at random,what is the probability that at least one has one or more television sets?

(Multiple Choice)

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Question 54

If you draw a card at random from a well-shuffled deck,is getting a club independent of getting a queen? Explain.

(Multiple Choice)

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Question 55

The table shows the political affiliation of voters in one city and their positions on raising taxes. Raising Taxes Favour Oppose NDP 0.08 0.29 Conservative 0.26 0.15 Other 0.14 0.08 Are party affiliation and position on raising taxes independent? Explain.

(Multiple Choice)

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Question 56

Opinion-polling organizations sometimes contact their respondents by sampling random telephone numbers.Assume that interviewers can now reach about 74% of Canadian households,while the percentage of those contacted who agree to cooperate with the survey is 32%.Each household,of course,is independent of the others.What is the probability of failing to contact a household or of contacting the household but not getting them to agree to the interview?

(Multiple Choice)

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Question 57

A group of volunteers for a clinical trial consists of 88 women and 90 men.20 of the women and 19 of the men have high blood pressure.Are high blood pressure and gender independent? Explain.

(Multiple Choice)

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Question 58

Melissa is looking for the perfect man.She claims that at her college 34% of men are smart,30% are funny,and 19% are both smart and funny.If Melissa is right,are being smart and being funny independent events?

(Multiple Choice)

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Question 59

You draw a card at random from a standard deck of 52 cards.Find the probability that the card is a heart given that it is black.

(Multiple Choice)

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Question 60

Showing 41 - 60 of 95

Exam 13: Probability Rules

The table shows the political affiliation of voters in one city and their positions on raising taxes. Raising Taxes Favour Oppose NDP 0.09 0.28 Conservative 0.23 0.12 Other 0.14 0.14 What is the probability that a Conservative supporter opposes raising taxes?

A teacher designs a test so that 92% of students who study will pass and 7% of students who don't study will pass.94% of students study for a test.What is the probability that a randomly selected student passes?

A manufacturing process has a 74% yield,meaning that 74% of the products are acceptable and 26% are defective.If three of the products are randomly selected,find the probability that all of them are acceptable.

You roll a fair die three times.What is the probability that you roll all 2's?

You are dealt a hand of three cards,one at a time.Find the probability that you get no black cards.

A box contains 14 batteries of which 6 are still working.Anne starts picking batteries one at a time from the box and testing them.Find the probability that at least one of the first four works.

A consumer organization estimates that 35% of the households in a particular community have one television set,39% have two sets,and 16% have three or more sets.If two independent households are chosen at random,what is the probability that at least one has one or more television sets?

If you draw a card at random from a well-shuffled deck,is getting a club independent of getting a queen? Explain.

The table shows the political affiliation of voters in one city and their positions on raising taxes. Raising Taxes Favour Oppose NDP 0.08 0.29 Conservative 0.26 0.15 Other 0.14 0.08 Are party affiliation and position on raising taxes independent? Explain.

A group of volunteers for a clinical trial consists of 88 women and 90 men.20 of the women and 19 of the men have high blood pressure.Are high blood pressure and gender independent? Explain.

Melissa is looking for the perfect man.She claims that at her college 34% of men are smart,30% are funny,and 19% are both smart and funny.If Melissa is right,are being smart and being funny independent events?

You draw a card at random from a standard deck of 52 cards.Find the probability that the card is a heart given that it is black.

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