Question: The main bearing clearance (in mm) in a certain type of engine is a random variable with probability density function a. What is the probability

The main bearing clearance (in mm) in a certain type of engine is a random variable with probability density function

0 < x < 0.04 0.04 < x < 0.08 625x f (x) = { 50 – 625x otherwise


a. What is the probability that the clearance is less than 0.02 mm?

b. Find the mean clearance.

c. Find the standard deviation of the clearances.

d. Find the cumulative distribution function of the clearance.

e. Find the median clearance.

f. The specification for the clearance is 0.015 to 0.063 mm. What is the probability that the specification is met?

0 < x < 0.04 0.04 < x < 0.08 625x f (x) = { 50 625x otherwise

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