Give an example of a probability density function fx(x) whose associated continuous random variable X has expected value 10, i.e., E(X) = 10.

If ​n(A)equals 7 ​, ​n(B)equals 10   and​ n(A intersect   ​B)equals 3 ​, what is​ n(A union   ​B)?

Scientists have found a way to distinguish chronic-fatigue syndrome (CFS) from post-treatment Lyme disease by different proteins in a patient's spinal fluid. In a study of 4334 patients, the results to the right were found. (a) How many had the protein for Lyme only? (b) How many had the normal protein only? (c) How many had none of the proteins? 1654 had the protein for normal patients, CFS, and post-treatment Lyme disease; 1754 had the protein for CFS and Lyme; 820 had the protein for CFS only; 2660 had the protein for CFS; 1759 had the normal protein as well as the one for Lyme; 2625 had the protein for Lyme; 2648 had the normal protein. (a) There were 766 patients who only had the protein for Lyme. (Type a whole number.) (b) There were patients who only had the normal protein. (Type a whole number.)

The graph ofg (x) x2 is given. 7. V The function u (x) was obtained g (x) and is graphed below. What is u (x)? и (х) 3 (х + 5)2 а.