LetX=(X1,X2,...,XN)T bearandomvectorofindependentandidenticallydistributed Bernoulli random variables each with success probability p, where N is a constant positive integer. Define the random variables

10j

Yj = Xi, j=1,2,3,...,n.

i=10j 9

Determine the joint distribution of (Y1, Y2, Y3, ..., Yn). Compute the Mean Vector and

T

Covariance Matrix of the random vector Y = (Y1, Y2, Y3, ..., Yn) . Hence or otherwise,

T

Compute the joint distribution of X given that Y (1, 1, 1, ..., 1)