Problem 3E

Rectangular plates are manufactured whose lengths are distributed N(2.0, 0.12) and whose widths are distributed N(3.0 0.22). Assume the lengths and widths are independent. The area of a plate is given by A= XY.

a. Use a simulated sample of size 1000 to estimate the mean and variance of A.

b. Estimate the probability that P(5.9

c. Construct a normal probability plot for the areas. Is the area of a plate approximately normally distributed?

Solution:

Step 1 of 4:

The length of manufactured rectangular plates are distributed N(2.0,0.12), and whose width are distributed N(3.0,0.22). The lengths and widths are independent. The area of the plate is given by

A= XY.