Assume that X is a Poisson random variable with μ = 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)