Question

A discrete random variable N has the following probability mass function: P (N = n) [p, n=1] [2p, n=3] [1-3p, n=5] If E[N]=3.8, find p

Answer 1

Hi,

0.7

Explanation:

`E(N)=3.8=1*p+3*2p+(1-3p)*5\\4p+1=3.8\\4p=2.8\\p=0.7\\`