The quality characteristic T depends on X and Y according to the expression T = XeY . X and Y are approximately normally distributed with means 10.0 and 2.0, respectively and standard deviations of 0.1 and 0.05, respectively (so that the natural tolerance limits are 10.0 ± 0.3 for X and 2.00 ± 0.15 for Y ). a) Find the natural tolerance limits for T.

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