SOLUTION: Please help solve the following problem: 1.6 Assume that X is a Poisson random variable with average λ= 6.0 Which one of the following statements is incorre

Algebra ->  Probability-and-statistics -> SOLUTION: Please help solve the following problem: 1.6 Assume that X is a Poisson random variable with average λ= 6.0 Which one of the following statements is incorre      Log On


   

Question 1075929: Please help solve the following problem:
1.6 Assume that X is a Poisson random variable with average λ= 6.0
Which one of the following statements is incorrect
a) P(X=0)= 0.0025
b) The variance is 2.45
c) P(X<3)= 0.062
d) P(X>5)= 0.5543
e) P(2
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
a. e^(-6)=0.00247 OK.
b. This is incorrect. The mean and variance are the same. The variance is 6, the SD is 2.45
c.This is correct. One can add e^(- lambda)*lambda^x/x!, where x=0,1,2
d. This is correct.
It is B.