Given a Poisson random variable X,where the average number of successes occurring in a specified interval is 1.8,then P(X = 0)is:
A)1.8
B)1.3416
C)0.1653
D)6.05

Question

Quizplus · Accepted Answer

P(X=0) = (e^(-λ) * λ^x)/x!
where λ is the average number of successes occurring in the specified interval
Here, λ = 1.8 and X = 0.
P(X=0) = (e^-1.8 * 1.8^0)/0!
P(X=0) = e^-1.8 = 0.1653 (approx)
Therefore, the correct choice is C.

Given a Poisson Random Variable X,where the Average Number of Successes