Refer to the following contingency table for question 1a and 1b Pedestrian intoxicated Pedestrian not intoxicated Driver intoxicated 59 79 Driver not intoxicated 266 581 1. The table above summarizes pedestrian deaths that were caused by accidents. a. If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated. b. If two different pedestrian deaths are randomly selected, find the probability that they both involved intoxicated drivers. 2. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial: n = 5, x = 2, p = 0.25 3. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 10 days. a. Find the probability of a pregnancy lasting 310 days or longer. b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 5%, find the length that separates premature babies from those who are not premature. 4. Assume women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. a. If 1 woman is randomly selected, what is the probability that her height is less than 64 inches? b. If 36 women are randomly selected, what is the probability that they have a mean height of less than 64 inches? 5. Let the random variable x represent the number of girls in a family of 3 children. Construct a table describing the probability distribution, then find the mean and SD. Is it unusual for a family of 3 children to consist of 3 girls?