Question: SC currently does not offer free coffee refills. However, suppose the company is exploring a policy to offer free coffee refills, and the number of

SC currently does not offer free coffee refills. However, suppose the company is

exploring a policy to offer free coffee refills, and the number of refills for a randomly selected

customer is a random variable with the probability function given

x 0 1 2 3 4

P(x) 0.14 0.5 0.23 0.11 0.02

Suppose a customer buys a medium coffee and pays $2. It is also known that each refill costs Second Cup 37 cents. Define the random variable Y=net profit for SC (income -refill cost). Express Y in terms of X and solve for the average net profit and standard deviation.

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