Consider a random experiment with a sample space Suppose that we know: where c is a constant

Question:

Consider a random experiment with a sample spaceS = {1,2,3,}.

Suppose that we know:P(k) = P({k}) =  3k for k=1,2,.,

where c is a constant number.

a. Find c.

b. Find P({2, 4, 6}).

c. Find P({3, 4, 5,⋯}).

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