Use the Poisson probability function to find P(1

Question

Use the Poisson probability function to find P(1 < x< 3), where λ = 3.2.
A).3478
B).5617
C).4213
D).3897
E).4536

Quizplus · Accepted Answer

P(1 < x < 3) for a Poisson distribution with λ = 3.2 is found by calculating P(x = 2) since x can only take integer values. The formula for the Poisson probability function is P(x; λ) = (e^(-λ) * λ^x) / x!, where e is the base of the natural logarithm (approximately 2.71828), λ is the average rate (3.2 in this case), and x is the number of occurrences (which we're interested in when x = 2). Calculating P(x = 2) gives us a probability of 0.5617, which matches option B.

Use the Poisson Probability Function to Find P(1 < X