While Fred is sleeping one night, X legitimate emails and Y spam emails are sent to him. Suppose that X and Y are independent, with X∼Pois(10) and Y∼Pois(40).
a) P(X=10)⋅P(Y=40)
b) P(X≤10)⋅P(Y≥40)
c) P(X≥10)⋅P(Y≤40)
d) P(X>10)⋅P(Y<40)