A penny and a nickel are tossed. The penny has probability 0.4 of coming up heads, and the nickel has probability 0.6 of coming up heads. Let X=1 if the penny comes up heads, and let X=0 if the penny comes up tails. Let Y=1 if the nickel comes up heads, and let Y=0 if the nickel comes up tails.
a. Find the probability mass function of X.
b. Find the probability mass function of Y.
c. Is it reasonable to assume that X and Y are independent? Why?
d. Find the joint probability mass function of X and Y.
(a) 
(b) 
(c)Yes. It is reasonable to assume that knowledge of the outcome of one coin will not help predict the outcome of the other.
(d) 
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