Determine the indicated probability for a Poisson random variable with the given values of $\lambda \text { and } t$ $\lambda = 0.8 , t = 5 , P ( \text { More than } 3 )$
A) 0.4335
B) 0.4152
C) 0.5665
D) 0.2381

Question

Quizplus · Accepted Answer

The probability of a Poisson random variable being more than a certain value is found by subtracting the cumulative probability of it being less than or equal to that value from 1. Here, we calculate $P(X > 3)$ for a Poisson distribution with $\lambda t = 0.8 \times 5 = 4$. Using a Poisson probability table or calculator, we find $P(X \leq 3)$ and subtract from 1 to get $P(X > 3) = 1 - P(X \leq 3)$. The correct answer, after performing the calculation, is closest to 0.5665.

Determine the Indicated Probability for a Poisson Random Variable with the Given