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
(a) 
=6 exactly (simulation results will be approximate), 
.
(b) ? 0.16
(c) The distribution is approximately normal.
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