Question: 5)Past experience indicates that calls come to a switch board according to a Poisson Distribution with a mean rate of 6 calls every 2 minutes.

5)Past experience indicates that calls come to a switch board according to a Poisson

Distribution with a mean rate of 6 calls every 2 minutes.

a)Find the probability that 3 calls come in during a minute period

b)What is the probability that at least one call comes in during a minute period

c)Find the probability of one call during a 1.5-minutes period.

d)What is the probability of exactly one call comes in during a minute given we had at least one call during a minute period?

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