4. If the random variable X has an exponential distribshow that for a > 0, b>0,1f(x) = -x/², for x ≥ 0,e2P(X> a+b|x> a) = P(X > b).

For the random variable X~Exponential1λ, it is given that: fx=1λe-xλ, for x≥0

Answered: 4. If the random variable X has an show…

4. If the random variable X has an show that for a > 0, b>0, exponential distrib f(x) = x/4, for x ≥ 0, 1 λ P(X> a+b|x> a) = P(X > b).

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 41E

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Question

4. If the random variable X has an exponential distrib
show that for a > 0, b>0,
1
f(x) = -x/², for x ≥ 0,
e
2
P(X> a+b|x> a) = P(X > b).

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