The error in the length of a part (absolute value of the difference between the actual length

Question:

The error in the length of a part (absolute value of the difference between the actual length and the target length), in mm, is a random variable with probability density function.

a. What is the probability that the error is less than 0.2 mm?

b. Find the mean error.

c. Find the variance of the error.

d. Find the cumulative distribution function of the error.

e. The specification for the error is 0 to 0.8 mm. What is the probability that the specification is met?

Distribution
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