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