Question

In: Statistics and Probability

a.  For the following probability density function:                 f(X)= 3/4 (2X-X^2 ) 0 ≤ X ≤ 2           &nbsp

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.

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