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a. Use Bayes’ theorem to find the probability that the fatality involved a rollover, given that the
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a. Use Bayes’ theorem to find the probability that the fatality involved a rollover, given that thefatality involved an SUV, van or pickup.b. Compare the result in (a) to the probability that the fatality involved a rollover, and commenton whether SUVs, vans and pickups are more prone to rollover accidents.Exercise 4.36(Not in 8th edition): If there are 10 multiple-choice questions on an exam, each having 3 possible answers, how many different possibilities are there for sequences of correct answers? Exercise 4.39(Not in 8th edition): A brand of women’s jeans can be ordered in seven different sizes, 3 different colors and 3 different styles. How many jeans have to be ordered if the store wants to have one pair of each type. Exercise 4.43(Not in 8th edition): A gardener has 6 rows in his garden available for 6 different vegetables. If each vegetable gets one row, how many different ways are there to position the vegetables in the garden? Exercise 4.44(Not in 8th edition): The Big Triple consists of picking the correct order of finish of the first 3 horses in the 9th race. If there are 12 horses entered in the race, how many outcomes are there? Exercise 4.45(Not in 8th edition): The Quinella consists of picking the horses that will place first or second regardless of order. If 8 horses are entered in a race, how many winning combinations are there? Exercise 5.18 (In 8th edition only): Suppose that a random sample of web surfers is selected and ask if the remember a specific internet banner. Use the binomial model and assume that 
a. What is the expected value or mean of this binomial distribution? b. What is the standard deviation of this binomial distribution? c. What is the probability that none of the surfers will remember the banner ad? d. What is the probability that exactly one of the surfers will remember the banner ad? e. What is the probability that exactly two of the surfers will remember the banner ad? f. What is the probability that three or more of the surfers will remember the banner ad? d. Assume that  How does that change a-f.
Exercise 6.24 (Not in 8th edition): Suppose that you are sampling from a uniform distribution with  and  What is the probability of obtaining a value:
a. between 5 and 7? b. between 2 and 3? c. What is the expected value? d. What is the standard deviation?
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