ABSTRACT

In this chapter we will deal with the problem of integration of a function over an interval, ∫ b

f(x)dx,

which arises in many situations.

Example 6.1 A manufacturer produces 2-inch wafers. Due to the production process variability, the actual diameter of wafers made is normally distributed with a mean of 2 inches and a standard deviation of 0.01 inch. Specifications require that the diameter is between 1.985 and 2.02 inches. We need to estimate the fraction of the produced wafers that will be acceptable.