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
f(x) = 10 for 9.95 < x < 10.05
f(x) = 0 for otherwise
and that the probability density function of y is
g(y) = 5 for 4.9 < y < 5.1
g(y) = 0 for otherwise

assume that the measurements x and y are independent. find p(x < 9.98)