2-7.5 a communication time to failure (MTF) of 6 years. a) Find the probability that the satellite will fail sooner than 6 years. b) Find the probability that satellite will fail during the 6th satellite has designed to have the mean year. c) Given that satellite will survive for seven years, find the probability that it will fail before the 8th year.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2-7.5 a communication satellite has designed to have the mean
time to failure (MTF) of 6 years.
a) Find the probability that the satellite will fail sooner than 6
years.
b) Find the probability that satellite will fail during the 6th
year.
c) Given that satellite will survive for seven years, find the
probability that it will fail before the 8th year.
2-7.6 A Laplacian random variable has the mean value of -1 and
the mean-square value of 5. Find
P(X= -1), P(X<-3), and P(-2 < X < 2).
Transcribed Image Text:2-7.5 a communication satellite has designed to have the mean time to failure (MTF) of 6 years. a) Find the probability that the satellite will fail sooner than 6 years. b) Find the probability that satellite will fail during the 6th year. c) Given that satellite will survive for seven years, find the probability that it will fail before the 8th year. 2-7.6 A Laplacian random variable has the mean value of -1 and the mean-square value of 5. Find P(X= -1), P(X<-3), and P(-2 < X < 2).
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