Problem 3. (1 point) Once checked in at the ticket kiosk, the amount of time it takes a airline passenger at the Calgary International Airport to clear security is a random variable that can be modeled by the Expo- nential distribution with a / = 41.9 minutes. A statistician is randomly select n = 32 airline passengers and record how long, in minutes, it takes each to clear security once each has checked in at the ticket kiosk. (a) Complete the statement below. Enter your answer using all the decimals you can. The distribution of X . ? . is approximately Normal . is exactly Normal . is skewed to the right . is Exponential . is Poisson . has an unknown shape with a mean /x = - minutes and a standard deviation Ox = minutes. (b) What is the probability that the average time for this sample of n = 32 airline passengers to clear security is between 27 minutes and 58 minutes? Enter your answer using all the decimals you can. (c) 95% of the time, the mean time it takes n = 32 airline pas- sengers to clear security after ticket kiosk check-in is at most how many minutes? Enter your answer using all the decimals you can