When a is a positive integer n, the gamma distribution is also known as the Erlang distribution. Setting a = n in the gamma distribution on page 195, the Erlang distribution is It can be shown that if the times between successive events are independent, each having an exponential distribution with parameter 3, then the total elapsed waiting time X until all n events occur has the Erlang distribution. Referring to Review Exercise 6.60, what is the probability that the next 3 calls will be received within the next 30minutes?

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x > 0, elsewhere. f(x) 10,