At each stage of an electron multiplier, each electron, upon striking the plate, generates a Poisson distributed number of electrons for the next stage. suppose the mean of the Poisson distribution is lambda. Determine the mean and variance for the number of electrons in the nth stage

Mean =

Variance =

Step-by-step explanation:

We are given the following in the question:

The distributed number of electrons for the next stage can be treated as a Poisson distribution.

Properties of a Poisson distribution:

•The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.

•The variance of Poisson distribution is equal to the mean of Poisson distribution.

a) Mean for the number of electrons in the stage.

b) Variance for the number of electrons in the stage.