Question

Assume a Poisson distribution. A) If ? = 2.5 , find P(X =2 ). B) If...

Assume a Poisson distribution. A) If ? = 2.5 , find P(X =2 ). B) If ? = 0.5find P(X =1) C) If ? = 8.0find P(X=3) D) If ? = 3.7find P(X =10)

Homework Answers

Answer #1

Solution :

A ) Given that ,

  = 2.5

x = 2

Using poisson probability formula,

P(X = x) = (e- * x ) / x!

P(X = 2 ) = (e-2.5 * 2.52) / 2! = 0.2565

Probability = 0.2565

B ) Given that ,

  = 0.5

x = 1

Using poisson probability formula,

P(X = x) = (e- * x ) / x!

P(X = 1 ) = (e-0.5 * 0.51) / 1! = 0.3033

Probability = 0.3033

C ) Given that ,

  = 8.0

x = 3

Using poisson probability formula,

P(X = x) = (e- * x ) / x!

P(X = 3 ) = (e- 8.0 * 8.03) / 3! = 0.0286

Probability = 0.0286

D ) Given that ,

  = 3.7

x = 10

Using poisson probability formula,

P(X = x) = (e- * x ) / x!

P(X = 10 ) = (e- 3..7 * 3.710) / 10! = 0.0033

Probability = 0.0033

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