The probability density function of X, the lifetime of a certain type of device (measured in months), is given by Find the following: P(X > 34) = The cumulative distribution function of X: if x 25 F(x) = if x 25 f(x) = if x ≤25 25 if x > 25

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The probability density function of X, the lifetime of a certain type of device (measured in months), is given by
Find the following: P(X > 34) =
The cumulative distribution function of X:
F(x) =
{8
if x 25
if x 25
if x 25
f(x) =
25
if x 25
x2
The probability that at least one out of 6 devices of this type will function for at least 34 months:
Transcribed Image Text:The probability density function of X, the lifetime of a certain type of device (measured in months), is given by Find the following: P(X > 34) = The cumulative distribution function of X: F(x) = {8 if x 25 if x 25 if x 25 f(x) = 25 if x 25 x2 The probability that at least one out of 6 devices of this type will function for at least 34 months:
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