Question: Measurements are made on the length and width (in cm) of a rectangular component. Because of measurement error, the measurements are random variables. Let X

Measurements are made on the length and width (in cm) of a rectangular component. Because of measurement error, the measurements are random variables. Let X denote the length measurement and let Y denote the width measurement. Assume that the probability density function of X is

And that the probability density function of Y is

Assume that the measurements X and Y are independent.

a. Find P(X < 9.98).

b. Find P(Y > 5.01).

c. Find P(X < 9.98 and Y > 5.01).

d. Find Î¼_X .

e. Find Î¼_Y .

10 9.95

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