Let W equal the weight of laundry soap in a 1-kilogram box that
is distributed in Southeast Asia. Suppose that P(W<1)=0.02 and
P(W>1.072)=0.08. Call a box of soap light, good, or heavy
depending on whether {W<1}, {1<=W<=1.072}, or
{W>1.072}, respectively. In n=50 independent observations of
these boxes, let X equal the number of light boxes and Y the number
of good boxes. A. What is the joint pmf of X and Y? B. Give the
name of the distribution of Y along with values of the parameters
of this distribution. C. Given that X=3, how is Y distributed
conditionally? (PLS show how) D. Determine E(YlX=3). E. Find p, the
correlation coefficient of X and Y. I did A and B, need help with
the rest.