Rectangular plates are manufactured whose lengths are distributed and whose widths are distributed . 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?


(a) =6 exactly (simulation results will be approximate), .

(b) ? 0.16

(c) The distribution is approximately normal.

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