Question: Assume that X is a Poisson random variable with = 22. Calculate the following probabilities. (Do not round intermediate calculations. Round your final answers to

Assume thatXis a Poisson random variable with= 22. Calculate the following probabilities.(Do not round intermediate calculations. Round your final answers to 4 decimal places.)

(Please explain how you solved the problem)

a. P(X less than or equal to 12)

b. P(X = 14)

c. P(X > 17)

d. P(17 less than or equal to X less than or equal to 24)

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