Question

In: Statistics and Probability

Let Y denote a random variable that has a Poisson distribution with mean λ = 6....

Let Y denote a random variable that has a Poisson distribution with mean λ = 6. (Round your answers to three decimal places.)

(a) Find P(Y = 9).

(b) Find P(Y ≥ 9).

(c) Find P(Y < 9).

(d) Find P(Y ≥ 9|Y ≥ 6).

Solutions

Expert Solution

Y denotes a random variable that has a Poisson distribution with mean λ = 6

The probability of Y=y is

(a) Find P(Y = 9).

ans: P(Y=9) = 0.069

(b) Find P(Y ≥ 9).

ans: P(Y ≥ 9) = 0.153

(c) Find P(Y < 9)

ans: P(Y<9) = 0.847

(d) Find P(Y ≥ 9|Y ≥ 6)

First we get

P(Y ≥ 6)

From b) we know that P(Y ≥ 9) = 0.1528

The required probability is

ans: P(Y ≥ 9|Y ≥ 6) = 0.276

orchestra answered 1 year ago
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