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Every day a company makes 100 phone calls. Each call has a 40% chance of being...

Every day a company makes 100 phone calls. Each call has a 40% chance of being answered. Calls are answered or not independently of each other. Every time a call is answered a sale is made in the amount X that is a random variable having a normal distribution with μ= 50 and σ= 5. Let Y be the number of answered calls during a day and let W be the total amount of daily sales. Assume that sales amounts are independent of each other and from the number of sales Y. i) Identify the distribution of Y, its mean, and its variance. ii) Find EW. iii) Find Var(W)

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