Let the random variables X1 and X2 denote the length and wid…
Let the random variables X1 and X2 denote the length and width of a manufactured part. Assume that X1 is normal with E(X1 ) = 2 and standard deviation 0.1 cm. Also assume that X2 is normal with E(X2 ) = 5 cm and standard deviation 0.2 cm. Also assume that X1 and X2 are independent. What is the probability that the perimeter exceeds 14.5 cm?