The table shows the careers of a group of retired people and their ages at retirement. Age at Retirement \[\begin{array} { | c | c | c | c | c | c | } \hline \text { Career } & 50 - 55 & 56 - 60 & 61 - 65 & \text { Over 65 } & \text { Total } \\ \hline \text { Attorney } & 9 & 44 & 95 & 50 & 198 \\ \hline \begin{array} { c } \text { College } \\ \text { Professor } \end{array} & 12 & 44 & 99 & 37 & 192 \\ \hline \text { Secretary } & 21 & 45 & 63 & 49 & 178 \\ \hline \text { Store Clerk } & 18 & 44 & 70 & 50 & 182 \\ \hline \text { Total } & 60 & 177 & 327 & 186 & 750 \\ \hline \end{array}\] What is the probably that a person who was an attorney retired between the ages of 50 and 55?

A) 0.012 B) 0.264 C) 0.080 D) 0.045 E) 0.150 A) 0.012 B) 0.264 C) 0.080 D) 0.045 E) 0.150

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 \[\begin{array} { | c | c | c | c | } \hline \begin{array} { c } \text { Number of accidents } \\ \text { in past 3 years } \end{array} & \text { Under 25 } & 25 - 45 & \text { Over 45 } \\ \hline 0 & 0.123 & 0.192 & 0.390 \\ \hline 1 & 0.086 & 0.072 & 0.077 \\ \hline > 1 & 0.023 & 0.019 & 0.018 \\ \hline \end{array}\] What is the probability that a person who had no accidents in the past three years is over 45?

A) 0.390 B) 0.805 C) 0.484 D) 0.553 E) 0.705 A) 0.390 B) 0.805 C) 0.484 D) 0.553 E) 0.705

The table shows the political affiliation of voters in one city and their positions on raising taxes. Raising Taxes \[\begin{array} { l | c | c } & \text { Favour } & \text { Oppose } \\ \hline \text { NDP } & 0.12 & 0.31 \\ \text { Conservative } & 0.25 & 0.10 \\ \text { Other } & 0.15 & 0.07 \end{array}\] What is the probability that a voter who favours raising taxes is an NDP supporter?

A) 0.520 B) 0.430 C) 0.279 D) 0.231 E) 0.120 A) 0.520 B) 0.430 C) 0.279 D) 0.231 E) 0.120

The table below describes the smoking habits of a group of asthma sufferers. \(\begin{array}{r|cccr} && \text {light }& \text { heavy}\\ & \text { Nonsmoker } & \text { smoker} & \text { smoker } & \text { Total } \\ \hline \text { Men } & 306 & 68 & 90 & 464 \\ \text { Women } & 354 & 83 & 70 & 507 \\ \text { Total } & 660 & 151 & 160 & 971 \end{array}\) What is the probability that a light smoker is a woman?

A) 0.680 B) 0.164 C) 0.550 D) 0.085 E) 0.156 A) 0.680 B) 0.164 C) 0.550 D) 0.085 E) 0.156

The table below describes the smoking habits of a group of asthma sufferers. \(\begin{array}{r|cccc} &&Light &Heavy &\\ &Nonsmoker &smoker &smoker &Total \\ \hline \text { Men } & 337 & 82 & 71 & 490 \\ \text { Women } & 345 & 87 & 90 & 522 \\ \text { Total } & 682 & 169 & 161 & 1012 \end{array}\) Is heavy smoking independent of gender?

A) No,overall 15.9% of the group are heavy smokers ,but 14.5% of the men are heavy smokers.These are not equal. B) No, P(male and heavy smoker)= 0.070; P(female and heavy smoker)= 0.089. These are not equal C) Yes,because each of the joint probabilities is equal to the product of the marginal probabilities. D) Yes,the percentage of women in each smoking category is the same as the percentage of men in each smoking category. E) Yes,a heavy smoker cannot be both a man and a woman. A) No,overall 15.9% of the group are heavy smokers ,but 14.5% of the men are heavy smokers.These are not equal. B) No, P(male and heavy smoker)= 0.070; P(female and heavy smoker)= 0.089. These are not equal C) Yes,because each of the joint probabilities is equal to the product of the marginal probabilities. D) Yes,the percentage of women in each smoking category is the same as the percentage of men in each smoking category. E) Yes,a heavy smoker cannot be both a man and a woman.

Exam 13: Probability Rules

The table shows the careers of a group of retired people and their ages at retirement. Age at Retirement Career 50-55 56-60 61-65 Over 65 Total Attorney 9 44 95 50 198 College Professor 12 44 99 37 192 Secretary 21 45 63 49 178 Store Clerk 18 44 70 50 182 Total 60 177 327 186 750 What is the probably that a person who was an attorney retired between the ages of 50 and 55?

(Multiple Choice)

4.8/5

(80)

Question 81

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 0.05.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.Suppose that Shameel misses his flight.What is the probability that it was raining?

(Multiple Choice)

4.8/5

(88)

Question 82

In rolling a fair die twice,the events of getting a 1 on the first roll and a 5 on the second

(Multiple Choice)

4.8/5

(81)

Question 83

In the small town,a certain type of Blu-ray player is sold at just two stores.33% of the sales are from store A and 67% of the sales are from store B.2.8% of the Blu-ray players sold at store A are defective while 3.7% of the Blu-ray players sold at store B are defective.If Kate receives one of these Blu-ray players as a gift and finds that it is defective,what is the probability that it came from store A?

(Multiple Choice)

4.9/5

(85)

Question 84

At Sally's Hair Salon there are three hair stylists.28% of the haircuts are done by Chris,30% are done by Karine,and 42% are done by Amy.Chris finds that when he does haircuts,4% of the customers are not satisfied.Karine finds that when she does haircuts,3% of the customers are not satisfied.Amy finds that when she does haircuts,5% of the customers are not satisfied.What percentage of unhappy customers had their hair cut by Amy?

(Multiple Choice)

4.9/5

(75)

Question 85

You are dealt a hand of three cards,one at a time.Find the probability that you have at least one red card.

(Multiple Choice)

5.0/5

(86)

Question 86

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).If the total of the two cards dealt out is higher than the total of the two remaining cards you win the game.Is winning independent or dependent of the event of having the King of Spades?

(Multiple Choice)

4.8/5

(81)

Question 87

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 0.123 0.192 0.390 1 0.086 0.072 0.077 >1 0.023 0.019 0.018 What is the probability that a person who had no accidents in the past three years is over 45?

(Multiple Choice)

4.7/5

(81)

Question 88

The date is February 29.What is the fewest number of people that must be gathered together for it to be more than likely that at least one of them has a birthday today (that is,for the probability to be greater than 0.50)?

(Multiple Choice)

4.9/5

(82)

Question 89

The table shows the political affiliation of voters in one city and their positions on raising taxes. Raising Taxes Favour Oppose NDP 0.12 0.31 Conservative 0.25 0.10 Other 0.15 0.07 What is the probability that a voter who favours raising taxes is an NDP supporter?

(Multiple Choice)

4.8/5

(70)

Question 90

The table below describes the smoking habits of a group of asthma sufferers. light heavy Nonsmoker smoker smoker Total Men 306 68 90 464 Women 354 83 70 507 Total 660 151 160 971 What is the probability that a light smoker is a woman?

(Multiple Choice)

4.9/5

(66)

Question 91

The table below describes the smoking habits of a group of asthma sufferers. Light Heavy Nonsmoker smoker smoker Total Men 337 82 71 490 Women 345 87 90 522 Total 682 169 161 1012 Is heavy smoking independent of gender?

(Multiple Choice)

4.8/5

(66)

Question 92

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 neither of your two group mates has studied statistics?

(Multiple Choice)

4.8/5

(87)

Question 93

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).Given that the hand contains the King of Spades,what is the probability that the total count is 21?

(Multiple Choice)

4.8/5

(77)

Question 94

Opinion-polling organizations sometimes contact their respondents by sampling random telephone numbers.Assume that interviewers can now reach about 77% of Canadian households,while the percentage of those contacted who agree to cooperate with the survey is 39%.Each household,of course,is independent of the others.What is the probability of obtaining an interview with the next household on the sample list?

(Multiple Choice)

4.7/5

(88)

Question 95

In rolling a fair die twice,the events of getting a 1 on the first roll and a 5 on the second

You are dealt a hand of three cards,one at a time.Find the probability that you have at least one red card.

The date is February 29.What is the fewest number of people that must be gathered together for it to be more than likely that at least one of them has a birthday today (that is,for the probability to be greater than 0.50)?

The table shows the political affiliation of voters in one city and their positions on raising taxes. Raising Taxes Favour Oppose NDP 0.12 0.31 Conservative 0.25 0.10 Other 0.15 0.07 What is the probability that a voter who favours raising taxes is an NDP supporter?

The table below describes the smoking habits of a group of asthma sufferers. light heavy Nonsmoker smoker smoker Total Men 306 68 90 464 Women 354 83 70 507 Total 660 151 160 971 What is the probability that a light smoker is a woman?

The table below describes the smoking habits of a group of asthma sufferers. Light Heavy Nonsmoker smoker smoker Total Men 337 82 71 490 Women 345 87 90 522 Total 682 169 161 1012 Is heavy smoking independent of gender?

Stats Starts Here

Displaying and Describing Categorical Data

Displaying and Summarizing Quantitative Data

Understanding and Comparing Distributions

The Standard Deviation As a Ruler and the Normal Model

Scatterplots, association, and Correlation

Linear Regression

Regression Wisdom

Understanding Randomness

Sample Surveys

Experiments and Observational Studies

From Randomness to Probability

Random Variables

Sampling Distribution Models

Confidence Intervals for Proportions

Testing Hypotheses About Proportions

More About Tests

Comparing Two Proportions

Inferences About Means

Comparing Means

Paired Samples and Blocks

Comparing Counts

Inferences for Regression

Analysis of Variance

Multifactor Analysis of Variance

Multiple Regression

Multiple Regression Wisdom

Rank-Based Nonparametric Tests

The Bootstrap

Filters