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# Poisson probability distribution with 2 as the average numbe

Consider a Poisson probability distribution with 2 as the average number of occurrences per time period.
a. Write the appropriate Poisson probability function.
b. What is the average number of occurrences in three time periods?
c. Write the appropriate Poisson probability function to determinate the probability of x occurrences in three time periods
d. Find the probability of 2 occurrences in one time period
e. Find the probability of 6 occurrences in 3 time periods
f. Find the probability of 5 occurrences in 2 time periods

#### Solution Preview

See the attached file for complete solution. The text here may not be copied exactly as some of the symbols / tables may not print. Thanks

Consider a Poisson probability distribution with 2 as the average number of occurrences per time period.
a. Write the appropriate Poisson ...

#### Solution Summary

This post explains how to calculate the probability of occurrence for a random variable following poisson distribution.

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