Problem 2 Suppose that the number of cats visiting a cat wine bar in a given day is a poisson random variable with A = 2. Furthermore, assume that each cat purchases a meowtini with probability p = 0.8 . Assuming the probability that a cat's decision to purchase a drink is independent from other cats (they don't give into peer pressure, obviously) and independent from the number of cats that visit the cat wine bar, what is the expected number of cats who purchase meowtinis?

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Problem 2 Suppose that the number of cats visiting a cat wine bar in a given day is a poisson random
variable with 1= 2. Furthermore, assume that each cat purchases a meowtini with probability
p = 0.8. Assuming the probability that a cat's decision to purchase a drink is independent from
other cats (they don't give into peer pressure, obviously) and independent from the number of cats
that visit the cat wine bar, what is the expected number of cats who purchase meowtinis?
Transcribed Image Text:Problem 2 Suppose that the number of cats visiting a cat wine bar in a given day is a poisson random variable with 1= 2. Furthermore, assume that each cat purchases a meowtini with probability p = 0.8. Assuming the probability that a cat's decision to purchase a drink is independent from other cats (they don't give into peer pressure, obviously) and independent from the number of cats that visit the cat wine bar, what is the expected number of cats who purchase meowtinis?
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