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 agoRelated Solutions
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