Question: 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

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 determine 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 three time periods.
f. Find the probability of 5 occurrences in two time periods.

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