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

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.

(12(х? -х') f(x) = 0 <x <1 otherwise


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?

(12(? -') f(x) = 0

Step by Step Solution

3.50 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b c The var... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Statistics Engineers Scientists Questions!