Answer to Question #49889 in Statistics and Probability for ariaf

Question

1)-Let X be a random variable with density function as follows:

2(x − 1) , 1 < x < 2 f(t) =
0 , elsewhere
• Find the expectation of x, and the variance.
• If g(x) = x2 + x − 2, where x has the same above density function. 1. E(g(x)).
2. E(2)