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Probability based on Poisson distribution

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It is estimated that 0.5 percent of the 1200 callers per day to the Customer Service Department of Dell, Inc. will receive a message that the line is busy and be automatically transferred to a winning mode until a "representative is available to talk to them." The distribution of call arrivals approximates a Poisson distribution.

A. What is the probability that, of today's callers, exactly five receives this message?

B. What is the probability that, of today's 1200 callers, at least five receive this message?

C. What is the probability that none of today's callers receive this message?

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This solution provides a step by step method for computing probability based on Poisson distribution

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