Question

For a particular species of mice, let X be the length of a randomly chosen male and Y the length of a randomly chosen female. Given that X and Y are independent and normally distributed, with X ~ N(60, 20), Y ~ N(70, 10), what is Pr(X > Y), to 3 decimal places? That is, what is the probability that a randomly chosen male is longer than a randomly chosen female?

A)0.159

B)0.327

C)0.673