Suppose a small amount of blood is sampled and the number of white blood cells are counted. If the number of white blood cells is Poisson distributed with λ = 6, what is the probability that the sample has more than 4 white blood cells? What is the average number of white blood cells per sample? Is $\operatorname { Pr } ( 4 \leq X ) = 0.7149 ; E ( X ) = 6$ correct?

Question

Suppose a small amount of blood is sampled and the number of white blood cells are counted. If the number of white blood cells is Poisson distributed with λ = 6, what is the probability that the sample has more than 4 white blood cells? What is the average number of white blood cells per sample? Is

\operatorname { Pr } ( 4 \leq X ) = 0.7149 ; E ( X ) = 6

correct?

Quizplus · Accepted Answer

The probability that the sample has more than 4 white blood cells is indeed $\operatorname { Pr } ( 4 \leq X ) = 0.7149$ and the expected value $E(X)$ for a Poisson distribution with λ = 6 is 6.

Suppose a Small Amount of Blood Is Sampled and the Number