Company XYZ knows that replacement times for the mircowaves it produces are normally distributed with a mean of 14.5 years and a standard deviation of 0.9 years. Let X be the replacement time of a randomly selected mircowave. a. What is the distribution of X? X N N 14.5 Or 0.9 0% Please show the following answers to 4 decimal places. b. If a mircowave is randomly chosen, find the probability that it will be replaced in more than 16.8 years. 0.0054 X c. If a mircowave is randomly chosen, find the probability that it will be replaced between 13.1 and 14.9 years. 0.6094 X Please show the following answer to 1 decimal place. d. If the company wants to provide a warranty so that only 5% of the mircowaves will be replaced before the warranty expires, what is the time length of the warranty? 12.62 x years In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.4 inches, and standard deviation of 1.4 inches. Let X be the height of a randomly chosen child in Ventura County.