). The Exponential probability density function (PDF) is given by: = 2 imulative density function (CDF) is given by: =1-e*,x20 that the exponential distribution has a "memoryless" property, which is given >s+\X >s)= P(X >1).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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10. The Exponential probability density function (PDF) is given by:
f(x)= 2e*,x>0
and cumulative density function (CDF) is given by:
F(x)=1-e*,x20
show that the exponential distribution has a "memoryless" property, which is given by:
P(X >s+qX >s)= P(X >t).
Transcribed Image Text:10. The Exponential probability density function (PDF) is given by: f(x)= 2e*,x>0 and cumulative density function (CDF) is given by: F(x)=1-e*,x20 show that the exponential distribution has a "memoryless" property, which is given by: P(X >s+qX >s)= P(X >t).
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P(X > s+ t | X > s ) = P(X > s + t , X> s)P(X > s)

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