Problem 3: The length of time to failure (in hundreds of hours) for a transistor is a random variable X with the CDF given below: 2 F(x)lTe; x20 (a) Plot the CDF by hand. (b) Derive the pdf of this r...

Question

Question

Problem 3: The length of time to failure (in hundreds of hours) for a transistor is a random variable X with the CDF given be

Answer 1

Answer #1

a)

b)

pdf =f(X)=(d/dx)*F(X)=(d/dx)*(1-e^{-x^2}) =2xe^{-x^2} for x>=0

c)

P(X<=0.4) =1-e^{-0.4^2} =0.1479

d)

P(X>2)= 1-e^{-2^2} =0.0183

Answer 2

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