Let X = (X₁,X₂,...,X_N)^T be a random vector of independent and identically distributed Bernoulli random variables each with success probability p, where N is a constant positive integer. Define the random variables

10j

Y_j = ^X X_i, j = 1,2,3,...,n.

i=10j−9

Determine the joint distribution of (Y₁,Y₂,Y₃,...,Y_n). Compute the Mean Vector and Covariance Matrix of the random vector Y = (Y₁,Y₂,Y₃,...,Y_n)^T. Hence or otherwise, compute the

                                                                                       

Transcribed Image Text:

PX = (x1, x2, .., aN)"|Y = (y1, 2, Y3,... Yn)" PX = (x1, x2, .., aN)"|Y = (y1, 2, Y3,... Yn)"