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 b. Find P(Y > 5.01).
c. Find P(X 5.01).
d. Find μX.
e. Find μY.

Transcribed Image Text:

f(x)-(10 otherwise<10.05 f(x)= 0 otherwise 5 4.9 y <5.1 g()0 otherwise