Let x y be 2 bernoulli rvs with respective parameters pq., Ask an Expert

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let X, Y be 2 bernoulli RVs with respective parameters p,q. They are not necessarily independent. Let @ denote P(X=1, Y=1) a) what is the joint PMF f(XY)(x,y)?
b)compute correlation between X and Y
c)Give an ex for which the correlation is +1 for some choice of @
d)Give an ex of p,q for which correlation cannot be so large as +1 for any choice of @?

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