Suppose that a person€™s score X on a mathematics aptitude test is a number between 0 and 1, and that his score Y on a music aptitude test is also a number between 0 and 1. Suppose further that in the population of all college students in the United States, the scores X and Y are distributed according to the following joint p.d.f.:

a. What proportion of college students obtain a score greater than 0.8 on the mathematics test?
b. If a student€™s score on the music test is 0.3, what is the probability that his score on the mathematics test will be greater than 0.8?
c. If a student€™s score on the mathematics test is 0.3, what is the probability that his score on the music test will be greater than 0.8?

Transcribed Image Text:

f(x, y)-弐2x + 3y) for 0 < x < 1 and 0 < y < 1, otherwise