You are interested in investigating when a commercial airliner leaves the airport. You already know that the length of the airliner's first flight (Y) follows an exponential distribution and has an expectation equal to the age of the airliner when they have their first flight. The age that an airliner has their first flight is a continuous random variable (X) and has a PDF of

0x<2

f(x) =32/ 3x^32 x 4

0x>4

A) What is the expected Length of the Airliner's first flight?

B) The median distribution of (X) Is this estimator biased? What does the Bias of the median tell you about the distribution of (X)