3. Let X, X,, X, be i.i.d. Exp(k) where 2= 1/10,000 hours. Assume X, represents the life of an amplifier. fy(x) = he, x>0 = 0, Find the probability that at least two of three amplifiers live longer than 10,000 hours. e.w
3. Let X, X,, X, be i.i.d. Exp(k) where 2= 1/10,000 hours. Assume X, represents the life of an amplifier. fy(x) = he, x>0 = 0, Find the probability that at least two of three amplifiers live longer than 10,000 hours. e.w
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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Transcribed Image Text:3. Let X,, X,, X, be i.i.d. Exp(2) where 2= 1/10,000 hours. Assume X, represents the life of an
amplifier.
fy (x) = he. x > 0
= 0,
Find the probability that at least two of three amplifiers live longer than 10,000 hours.
e.w
I
Transcribed Image Text:3. Let X,, X,, X, be i.i.d. Exp(2) where 2= 1/10,000 hours. Assume X, represents the life of an
amplifier.
fy (x) = he. x > 0
= 0,
Find the probability that at least two of three amplifiers live longer than 10,000 hours.
e.w
I
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