2. Let X and Y be independent and identically distributed random variables from Uniform(0,1) distribution and Z = . Calculate P(Z < 1.25) X'

Solve (F,G,H,i) only      Please!!!

Let Y1, Y2,...,Yn be independent random variables with Y; Poisson(A;). Show that the sum of these random variables S has a Poisson distribution with rate paramcter A = di.

If we let X1, X2,...X10 be a random sample from the distribution N( μ, σ), then what is the value k so that: P( (X-μ)/(σ/√10) < k ) = .05 P( (X-μ)/(S/√10) < k ) = .05 P( k < (X-μ)/(S/√10) ) = .05