If a Poisson random variable X has an average of 5.5, find:
5.8
6.2
3.8
4.5
5.5
Let lambda be the average of a Poisson random variable X, which in this case is 5.5.
1. P(X = 5.8) = e^(-5.5) * (5.5^5.8) / 5.8!
2. P(X = 6.2) = e^(-5.5) * (5.5^6.2) / 6.2!
3. P(X = 3.8) = e^(-5.5) * (5.5^3.8) / 3.8!
4. P(X = 4.5) = e^(-5.5) * (5.5^4.5) / 4.5!
5. P(X = 5.5) = e^(-5.5) * (5.5^5.5) / 5.5!