In: Statistics and Probability
a. For the following probability density function:
f(X)= 3/4 (2X-X^2 ) 0 ≤ X ≤ 2
= 0 otherwise
find its expectation and variance.
b. The two regression lines are 2X - 3Y + 6 = 0 and 4Y – 5X- 8 =0 , compute mean of X and mean of Y. Find correlation coefficient r , estimate y for x =3 and x for y = 3.