Problem 6 Measurements are made on the length and width (in cm) of a rectangular components. 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 f(x) = {10 and that the probability density function of Y is g(y) = {5 9.95 5.01) d) Find My 4.9 < y < 5.1 Otherwise Assume that the measurements X and Y are independent. a) Find P(X<9.98) b) Find P(Y>5.01)