SupposeY1; Y2; Y3; : : : are independent Bernoulli random variables with
P(Yi = 0) = 1 =(1/i!)
P(Yi = 1) = 1=i!
Defining X=Y1+Y2+Y3+...Show that E[x]=e-1
Not to sure how to do this queston, so wondering anyone can help me?
SupposeY1; Y2; Y3; : : : are independent Bernoulli random variables with
P(Yi = 0) = 1 =(1/i!)
P(Yi = 1) = 1=i!
Defining X=Y1+Y2+Y3+...Show that E[x]=e-1
Not to sure how to do this queston, so wondering anyone can help me?
Note that the expected value has linear properties which we can use here. Unfortunately I'm confused with your notations. Can you explain what you mean with ? We know that are discrete randiom variables, hence . Finally,