Question: 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

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 < A < 6.1).
c. Construct a normal probability plot for the areas. Is the area of a plate approximately normally distributed?

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