Question Suppose Y And X Are Independent Binary Random Variables With P X 1 P P X 1 1 P P Y 1 Q 1 (78.67 KiB) Viewed 24 times
PLEASE SHOW THE WORKING OF EVERY PART!! THANK YOU )
Question : = = Suppose Y and X are independent binary random variables, with P(X = 1) = p, P(X = 1) = 1 – p, P(Y= 1) = q and P(Y=0)=1 – q. Let Z= X+Y. = ( ) What is the probability mass function (pmf) of Z, p(z) = P(Z = z)? = = ( ) Derive E(Z) and V(Z) ( ) Derive the P(Z = z[X = x)? = ( ) Using the your results in (b), propose a method of moment estimator for p and q. ( ) Now assume that p=q, using the method of maximum likelihood, find an estimator for p.
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!
)