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Melody Green is a surgeon at Green-Stone Memorial hospital. On any given day there isa 60% chance she will have to

perform at least one emergency surgery. She also has a 30%chance of having an absurdly gorgeous coworker flirt with her. Suppose that these two events are independent and that days are independent.

(a) LetY be the random variable that indicates whether Melody has an emergency surgery on a given day. What is the PMF ofY?

(b) LetX be the random variable that indicates whether an absurdly gorgeous coworker flirts with Melody on a given day. What is the PMF ofX?

(c) LetZ=X+Y. What is the interpretation ofZ= 1 in the context of the problem?

(d)  What is P(Z= 1)

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