The engineering department of a steel manufacturer is analyzing the company’s rolling machine that’s produces sheets of steel with varying thickness. The thickness is found to be a uniform random variable with values between 90 and 200 millimeters. Any sheets less than 150 millimeters thick must be scrapped, since they are unacceptable to buyers. Find the probability distribution for thickness f(x), and then calculate the mean and standard deviation of the thickness of the sheets produced by this machine.