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Suppose the number of e-mail messages received by Mike follows Poisson distribution with the average rate of 43 messages per week. Use Normal approximation to

Suppose the number of e-mail messages received by Mike follows Poisson distribution with the average rate of 43 messages per week. Use Normal approximation to find the following:

a) What is the probability that Mike would receive over 50 e-mail messages in one week?

b) What is the probability that Mike would receive exactly 50 e-mail messages in one week?

c) What is the probability that Mike would receive at most 45 e-mail messages in one week?

d) What is the probability that Mike would receive at least 32 e-mail messages in one week?

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