1 answer

Assume a Poisson distribution. a. If A 2.5, find P(X-5) c. If λ-0.5, find P(X-0). b....

Question:

Assume a Poisson distribution. a. If A 2.5, find P(X-5) c. If λ-0.5, find P(X-0). b. IfX-8.0, find P(X-4) d. If 3.7, find P(X

Assume a Poisson distribution. a. If A 2.5, find P(X-5) c. If λ-0.5, find P(X-0). b. IfX-8.0, find P(X-4) d. If 3.7, find P(X-6) a. P(X 5)- Round to four decimal places as needed.)

Answers

Solution:-

a) P(X = 5) = 0.0668

\lambda = 2.5

By applying poisons distribution:-

P(x; μ) = (e) (μx) / x!

P(x = 5) = 0.0668

b) P(X = 4) = 0.0573

\lambda = 8.0

By applying poisons distribution:-

P(x; μ) = (e) (μx) / x!

P(x = 4) = 0.0573

c) P(X = 0) = 0.6065

\lambda = 0.50

By applying poisons distribution:-

P(x; μ) = (e) (μx) / x!

P(x = 0) = 0.6065

d) P(X = 6) = 0.0881

\lambda = 3.7

By applying poisons distribution:-

P(x; μ) = (e) (μx) / x!

P(x = 6) = 0.0881

.

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