Question: A metal rod is 1 inches long Measurements on the length of this rod are equal to 1 plus random error. Assume that errors are uniformly distributed over the range -0.1 inch to + 0.1 inch, and are independent of each other.
a) Find the chance that a measurement is less than 1/100 of an inch away from1.
b) Find the chance that two measurements are less than 1/100 of an inch away from each other.