The lifetime X in hours of an clectronic tube is a random variable having a probability density function given by f(r) = re, >0. (a) Compute the expected lifetime of such a tube. (b) Compute the variance of the lifetime of such a tube. (c) Find the median lifetime m of such a tube that satisfics P(X > m) 0.5.

MATLAB: An Introduction with Applications
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The lifetime X in hours of an electronic tube is a random variable
having a probability density function given by
f(r) = re, I
(a) Compute the expected lifetime of such a tube.
(b) Compute the variance of the lifetime of such a tube.
(c) Find the median lifetime m of such a tube that satisfies P(X > m) = 0.5.
Transcribed Image Text:The lifetime X in hours of an electronic tube is a random variable having a probability density function given by f(r) = re, I (a) Compute the expected lifetime of such a tube. (b) Compute the variance of the lifetime of such a tube. (c) Find the median lifetime m of such a tube that satisfies P(X > m) = 0.5.
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