Please solve the screenshot! The special case of the gamma distribution in which a is a positive integer n is called an Erlang distribution. If we replace B by - in the expression below,x 20f(x; a, ß) = { BªT(a)otherwisethe Erlang pdf is as follows.(acax)n - le-ix(n - 1)!x 2 0f(x; 2, n) =x< 0It can be shown that if the times between successive events are independent, each with an exponential distribution with parameter 2, then the total time X that elapses before all of the next n events occur has pdf f(x; A, n).(a) What is the expected value of X?E(X) =If the time (in minutes) between arrivals of successive customers is exponentially distributed with A = 0.5, how much time can be expected to elapse before the eighth customer arrives?min(b) If customer interarrival time is exponentially distributed with A = 0.5, what is the probability that the eighth customer (after the one who has just arrived) will arrive within the next 24 min?

Name: Please solve the screenshot! The special case of the gamma distributio
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: Please solve the screenshot! The special case of the gamma distribution in which a is a positive integer n is called an Erlang distribution. If we replace B by - in the expression below,x 20f(x; a, ß) = { BªT(a)otherwisethe Erlang pdf is as follows.(