Los Angeles workers have an average commute of 34 minutes. Suppose the LA commute time is normally distributed with a standard deviation of13 minutes. Let K represent the commute time for a randomly seLected LA worker. Round aLl answers to 4 decimal places where possible. 13 jo'o' a. What is the distribution of K? )1 ~ MI 34 H b. Find the probability that a randomly,r selected LA worker has a commute that is longer than 33 minutes. [1.5319 R c. Find the Tth percentile for the commute time of LAworkers. 42.?684 I minutes If The percent of fat calories that a person in America consumes each day is normally.r distributed 1with a mean of about 33 and a standard deviation of 9'. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to 4 decimal places if where possible a. What is the distribution of X? X ~ NI[| 38 J, 9 J'} o" o" b. Find the probability...r that a randomly selected fat calorie percent is more than 43. 023?? X c. Find the minimum number for the upper quarter of percent of fat calories. l 44.0?4 I o" Suppose that the distance of fly.r balls hit to the outfield {in baseball] is normally distributed with a mean of 269 feet and a standard deviation of 40 feet. Let I be the distance in feet for a fly...r ball. a. What is the distribution of it? it ~ Ni 269 H 41] i as as b. Find the probability that a randomly.r hit fly.r ball travels less than 319 feet. Round to 4 decimal places. | 0.3944 ' if c. Find the 80th percentile for the distribution of distance of fly balls. Round to 2 decimal places. 31.12.5648 X feet