Reference no: EM132415860

Problem: 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 Exponential distribution with a μ=42.7 minutes. A statistician is randomly select n=40 airline passengers and record how long, in minutes, it takes each to clear security once each has checked in at the ticket kiosk.

Required:

Question 1: What is the probability that the average time for this sample of n=40 airline passengers to clear security is between 32 minutes and 59 minutes? Enter your answer using all the decimals you can.

Question 2: 96% of the time, the mean time it takes n=40 airline passengers to clear security after ticket kiosk check-in is at most how many minutes? Enter your answer using all the decimals you can.