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The normal-curve approximation can also be used for discrete distribution other than the binomial distribution. For...

The normal-curve approximation can also be used for discrete distribution other than the binomial distribution. For instance, it is reasonable to use this approximation if the Poisson distribution has a parameter greater than 30. This approximation uses as the mean and as the standard deviation. Suppose that the number of false alarms received weekly by the fire department of a large city follows a Poisson distribution with = 45. In any given week, find the probability that

a) There will be 50 or more false alarms

b) There will be at most 44 false alarms

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