Question: The steps in this exercise lead to the probability density function of an Erlang random variable X with parameters and (a) Use the Poisson distribution

The steps in this exercise lead to the probability density function of an Erlang random variable X with parameters and

(a) Use the Poisson distribution to express .

(b) Use the result from part

(a) to determine the cumulative distribution function of X.

(c) Differentiate the cumulative distribution function in part

(b) and simplify to obtain the probability density function of X.

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