Suppose that X has an Erlang distribution with the density function -le-x/b f(x) = 0 0,c(integer) > 0. b[(c-1)!] Let X1, X2,...,X,, be an independent random sample from the above distribution. What will be the distribution of Y = E,X; ?

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Chapter1: Combinatorial Analysis
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Please solve my probability question

Suppose that X has an Erlang distribution with the density function
G-le-x/b
f(x) =
0 <x< ∞, b > 0,c(integer) > 0.
b[(c-1)!]
Let X1,X2,...,Xn be an independent random sample from the above distribution.
What will be the distribution of Y
E, X, ?
Transcribed Image Text:Suppose that X has an Erlang distribution with the density function G-le-x/b f(x) = 0 <x< ∞, b > 0,c(integer) > 0. b[(c-1)!] Let X1,X2,...,Xn be an independent random sample from the above distribution. What will be the distribution of Y E, X, ?
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