Use the Poisson probability function to find P(x

Name: Use the Poisson probability function to find P(x < 3), where λ = 1. A).7643 B).9197 C).8872 D).9750 E).9562
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Question

Use the Poisson probability function to find P(x < 3), where λ = 1.
A).7643
B).9197
C).8872
D).9750
E).9562

Quizplus · Accepted Answer

The Poisson probability function is P(x; λ) = (e^(-λ) * λ^x) / x!. For P(x < 3), calculate P(0), P(1), and P(2) and sum them: P(0) = e^(-1) * 1^0 / 0! = 0.3679, P(1) = e^(-1) * 1^1 / 1! = 0.3679, P(2) = e^(-1) * 1^2 / 2! = 0.1839. Sum: 0.3679 + 0.3679 + 0.1839 = 0.9197.

Use the Poisson Probability Function to Find P(x < 3)