Statistics:

1. A protective coating is applied to the turbine blades. The thickness of the coating is measured in microns and the measurement device provides only integer values. The thickness measurements are uniformly distributed with values from a minimum of 140 microns to a maximum of 165 microns.

a. Determine the probability that the coating thickness on a randomly selected turbine blade is 145 microns or less.

b. Determine the mean and variance of the coating thickness for this process.

2. The number of flaws in metal sheeting manufactured for the engine covers is assumed to be Poisson distributed with a mean of 0.1 flaw per square meter.

a. What is the probability that there is exactly 1 flaw in 10 square meters of metal?

b. What is the probability that there are no flaws in 20 square meters of metal?