The lifetime of a machine part has a continuous distribution: Osxs 40 fx(x) = { (10+x)² else a. Calculate the probability that the lifetime of the machine part is less than 4. b. Calculate the expectation of life of this machine C. Calculate the variance d. Calculate the probability that the lifetime of the machine part is less than 4 given that is la for more than 2

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The lifetime of a machine part has a continuous distribution:
Osx< 40
fx(x) ={ (10+ x)²
else
а.
Calculate the probability that the lifetime of the machine part is less than 4.
b.
Calculate the expectation of life of this machine
C.
Calculate the variance
d. Calculate the probability that the lifetime of the machine part is less than 4 given that is lasts
for more than 2
Transcribed Image Text:The lifetime of a machine part has a continuous distribution: Osx< 40 fx(x) ={ (10+ x)² else а. Calculate the probability that the lifetime of the machine part is less than 4. b. Calculate the expectation of life of this machine C. Calculate the variance d. Calculate the probability that the lifetime of the machine part is less than 4 given that is lasts for more than 2
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