9. The main bearing clearance (in mm) in a certain type of engine is a random variable with probability density function 625x, 0

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9. The main bearing clearance (in mm) in a certain type of engine is a random variable with probability
density function
625x, 0<x< 0,4
f (x) = {50– 625.x, 0,04 < x < 0,08
0, otherwise
a). What is the probability that the clearance is less than 0.02 mm?
b). Find the cumulative distribution function of the clearance.
c). The specification for the clearance is 0.015 to 0.063 mm. What is the probability that
the specification is met?
Transcribed Image Text:9. The main bearing clearance (in mm) in a certain type of engine is a random variable with probability density function 625x, 0<x< 0,4 f (x) = {50– 625.x, 0,04 < x < 0,08 0, otherwise a). What is the probability that the clearance is less than 0.02 mm? b). Find the cumulative distribution function of the clearance. c). The specification for the clearance is 0.015 to 0.063 mm. What is the probability that the specification is met?
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