In: Statistics and Probability
(a)
Poisson Distribution with mean = 8 is given by:
for x =0, 1, 2,..
P(X5) = P(X = 0) + P(X= 1) + P(X=2) + P(X = 3) + P(X = 4) + P(X = 5)
So,
P(X5) = 0.19124
So,
Answer is:
0.19124
(b)
Poisson Distribution with mean = 8 X 4 = 32 is given by:
for x =0, 1, 2,..
P(X20) = 1 - P(X19)
By Table of Cumulative Probability Poisson Distribution, for Cumulative Probability for x = 19, we get P(X19) = 0.00934
So,
P(X20) = 1 - P(X19) = 1 - 0.00934 = 0.99066
So,
Answer is:
0.99066