# Normal Approximations to the Poisson Distribution

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Suppose the X is a Poisson random variable with lambda = 6.

a) Compute the exact probability that X is less than 4

b) Approximate the probability that X is less than 4 and compare to a)

c) Approximate the probability that 8<X<12

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#### Solution Preview

Please see the attachment.

Normal Approximations to the Poisson distribution

Suppose the X is a Poisson random variable with lambda = 6.

a) Compute the exact probability that X is less than 4

b) Approximate the probability that X is less than 4 and compare to a)

c) Approximate the probability that 8<X<12

Answer

The probability density function of Poisson variable with =6 is given ...

#### Solution Summary

Step by step method for computing probability for Poison distribution based on normal approximation is give in the answer.

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