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

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) 1.8B) 1.3416C) 0.1653D) 6.05

dheeraj kafaltia · Accepted Answer

Final Answer : C, Explanation :  P(X=0) = (e^(-λ) * λ^x)/x!where λ is the average number of successes occurring in the specified intervalHere, 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 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

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