The variable X has the distribution Exp(5N), i.e. it has the PDF f(x)3D5N25N* for x>0. The variable N is in turn geometric distributed with the parameter p=1/2, i.e. P(N=n)=(1 – 1/2)"-1(1/2) for n=1,2,... Determine P(X>3/5)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The variable X has the distribution Exp(5N), i.e. it has the PDF f(x)=5Ne5Nx for x>0. The
variable N is in turn geometric distributed with the parameter p=1/2,
i.e. P(N=n)=(1– 1/2)"-1(1/2) for n=1,2,...
Determine P(X>3/5)
Transcribed Image Text:The variable X has the distribution Exp(5N), i.e. it has the PDF f(x)=5Ne5Nx for x>0. The variable N is in turn geometric distributed with the parameter p=1/2, i.e. P(N=n)=(1– 1/2)"-1(1/2) for n=1,2,... Determine P(X>3/5)
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