In an exam, the test scores in a class of 16 students are i.i.d. /(517, 120) random variables, and the test scores in a class of 25 students are i.i.d. /(503, 140) random variables. Approximate the probability that the (sample) variance of test scores of the first class exceeds the (sample) variance of test scores of the second class. (Express the result in terms of the CDF of an F-distribution and compute the final numerical value up to 4 digits after the decimal point.)