QUESTION 12 Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per2.5 mile lap (in a sevenlap race)With a standard deviation of 2.26 seconds. The distribution ofher race times is normallyr distributed. We are Interested In one of her randomly selected laps. The middle 80% of her laps are from seconds to seconds. Answer to the nearest Whole number. Answer: QUESTION 13 An expert Witness for a paternity lawsuit testies that the length of a pregnancy is normally distributed with a mean of 260 days and a standard deviation of 13 days. Ari alleged father was out of the country from 240 to 306 days before the birth ofthe child, so the pregnancy would have been less than 240 days or more than 306 days long if he was the father. The birth was uncomplicated, and the child needed no medical intervention. Calculate the zscores rst, and then use those to calculate the probability. a. What is the probability that he was NOT the father'FI Round to 2 decimal places. Answer: b. What is the probability that he could be the father? Anmer: QUESTION 14 In 2005, 1,415,523 students heading to college took the SAT. The distribution of scores in the math section ofthe SAT follows a normal distribution With mean u = 520 and standard deviation 6 = 115. Calculate the zscore for an SAT score of T20. Answer to one decimal place. Answer: QUESTION 15 In 2005, 1,475,523 students heading to college took the SAT. The distribution of scores in the math section ofthe SAT follows a normal distribution With mean u = 520 and standard deviation :7 = 115. What math SAT score is 1.5 standard deviations above the mean? Round to one decimal place