Question

# 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) Let*Y *be the random variable that indicates whether Melody has an emergency surgery on a given day. What is the PMF of*Y?*

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

(c) Let*Z*=*X*+*Y*. What is the interpretation of*Z*= 1 in the context of the problem?

(d) What is *P*(*Z*= 1)

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