Note: The following exercises should be solved by using StatCrunch. $5.1 Traffic Fatalities and Intoxication. The National Safety Council publishes infor- mation about automobile accidents in Accident Facts. According to that document, the probability is 0.40 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In eight traffic fatalities. find the probability that the number which in- volve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three. b. at least three. c. at most three. d. between two and four, inclusive. Show all work when solving the following problems: S.5.2 A student takes a multiple-choice exam with 10 questions, each with four possible selections for the answer. A passing grade is 60% or better. Suppose that the student was unable to find time to study for the exam and just guesses at each question. Find the probability that the student (a) Gets at least one question correct. (b) Passes the exam c) Receives and "A" on the exam (90% or better) (d) How many questions would you expect the student to get correct? (e) Obtain the standard deviation of the number of questions that the student gets correct. S.5.3. Construct a probability distribution of getting heads in a three coin toss. S.5.4. One Thousand tickets are sold at $1 each for a color television valued @ $350. What is the expected value of the gain if a person purchases one ticket? S.5.5. One thousand tickets are sold at $1 each for four prizes of $100, $ 50, $ 25, and $ 10. What is the expected value if a person purchases two tickets