Question

Calculate each Poisson probability:

(a) P(X = 9), λ = 0.80 (Round your answer to 7 decimal places.)

Probability =   

(b) P(X = 8), λ = 9.20 (Round your answer to 4 decimal places.)

Probability =   

(c) P(X = 10), λ = 8.60 (Round your answer to 4 decimal places.)

Probability =   

Answer 1

Given that ,

mean = = λ = 0.80

Using poison probability formula,

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

P(X = 9) = (e^-0.80 * 0.80 ⁹ ) / 9!

=0.0000

probability=0.0000

b)

mean = = λ = 9.20

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

P(X = 8) = (e^-9.80 * 9.20 ⁸ ) / -8!

=0.11700

probability=0.1170

c)

mean = = λ = 8.60

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

P(X = 10) = (e^-8.60 * 8.60¹⁰ ) / 10!

=0.11228

probability=0.1123