Both distributions are approximately normal. Suppose we randomly select a man and a woman from each population, and calculate the difference between their heights. We can assume that their heights are independent. Find the probability that the woman is taller than the man.
You may round your answer to two decimal places.
P\left(\text{woman taller}\right)\approxP(woman taller)≈P, left parenthesis, start text, w, o, m, a, n, space, t, a, l, l, e, r, end text, right parenthesis, approximately equals