Measurements are made on the length and width (in \(\mathrm{cm}\) ) 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

b. Find \(P(Y>5.01)\).

c. Find \(P(X5.01)\).

d. Find \(\mu_{X}\).

e. Find \(\mu_{Y}\).

Transcribed Image Text:

{ 10 9.95