The Weibull density function is given by f(y) = 1 αmym−1 exp(−y m/α), y > 0, 0, otherwise. where α and m are positive constants. This density function is often used as a model for the lengths of life of physical systems. Suppose Y has the Weibull density just given. Find a. the density function of U = Y m . b. E Y k for any positive integer k .

attached below is the answer and detailed solution

Step-by-step explanation:

A) find the density function  U = Y^m

attached below is the detailed solution

B) Find E () for any positive integer k .

attached below is the detailed solution

your answer would be 8.04672

Step-by-step explanation:

cause if you multiply 5 x 1.609 you should get the answer you need which is 8.04672 kilometers