Question

A stick of length l is broken into two pieces at random. What is the average length of longer piece

Answer 1

Step-by-step explanation:

stick of length L is randomly broken into two pieces.

a) determine and identify a PDF of the length, X, of the shorter piece.

I get that fX(x) = 1 if 0<x<L/2

=0 otherwise

I don't know if I am on the right track

b) Use the result from a) and the Fundamental Expected-value Function to find the expected value of the ratio, R of the shorter piece to the longer piece.

c) Use the result from a) to obtain a PDF of R.

Answer 2

Answer:

Step-by-step explanation:

Length of longer peice lies between L/2 to L

Avg length of longer peice is (L/2 + L) / 2 = 3L/4