A certain college gives aptitude tests in the sciences and the humanities to all entering freshmen. If

Question:

A certain college gives aptitude tests in the sciences and the humanities to all entering freshmen. If X and Y are, respectively, the proportions of correct answers that a student gets on the tests in the two subjects, the joint probability distribution of these random variables can be approximated with the joint probability density

What are the probabilities that a student will get

(a) Less than 0.40 on both tests;

(b) More than 0.80 on the science test and less than 0.50 on the humanities test?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...