Ex7: Suppose that X has an exponential distribution with λ = 2. Determine the following: a/ P(X ≤0) and P(X≥2) b/ P(X ≤1) and P(1< X <2) c/ Find the value of x such that P(X 2) and P(X<3)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Ex7: Suppose that X has an exponential
distribution with λ = 2. Determine the following:
a/ P(X ≤0) and P(X≥2)
b/ P(X ≤1) and P(1< X <2)
c/ Find the value of x such that P(X<x) = 0.95
d/P(X<5 | X > 2) and P(X<3)
Transcribed Image Text:Ex7: Suppose that X has an exponential distribution with λ = 2. Determine the following: a/ P(X ≤0) and P(X≥2) b/ P(X ≤1) and P(1< X <2) c/ Find the value of x such that P(X<x) = 0.95 d/P(X<5 | X > 2) and P(X<3)
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