Question # 13 The Possion Distribtuion

The Poisson distribution with parameter λ = .3 has been assigned for the outcome of an experiment. Let X be the outcome function.

lambda = .3
x_0 <- 0
x_1 <- 1

a <- ppois(x_0, lambda, lower.tail = TRUE )
b <- ppois(x_1, lambda, lower.tail = TRUE)
c <- ppois(x_1, lambda, lower.tail = FALSE)

a) Find P(X = 0)

(where lower tail is less-than or equal to)
Answer: 0.7408182

b) Find P(X = 1)

(where lower tail is less-than or equal to )
Answer: 0.9630637

c) Find P(X > 1)

(where upper tail is greater-than)
Answer: 0.0369363