The diameter of a rivet (in mm) is a random variable with probability density functionS 6(x – 12) (13 – x) f(x) = 0 {ov 12 < x < 13 otherwise
a. What is the probability that the diameter is less
than 12. 5 mm?
b. Find the mean diameter.
c. Find the standard deviation of the diameters.
d. Find the cumulative distribution function of the
diameter.
e. The specification for the diameter is 12. 3 to
12. 7 mm. What is the probability that the speci-
fication is met?