The number of large packages delivered by a courier service follows a Poisson distribution with a rate

Question:

The number of large packages delivered by a courier service follows a Poisson distribution with a rate of 5 per day. Let \(X\) be the number of large packages delivered on a given day. Find

a. \(P(X=6)\)

b. \(P(X \leq 2)\)

c. \(P(5

d. \(\mu_{X}\)

e. \(\sigma_{X}\)

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