# Question

Suppose that A and B each randomly and independently choose 3 of 10 objects. Find the expected number of objects

(a) Chosen by both A and B;

(b) Not chosen by either A or B;

(c) Chosen by exactly one of A and B.

(a) Chosen by both A and B;

(b) Not chosen by either A or B;

(c) Chosen by exactly one of A and B.

## Answer to relevant Questions

In Problem 70, suppose that the coin is tossed n times. Let X denote the number of heads that occur. Show that P{X = i} = 1/n + 1 i = 0, 1, . . . , n Make use of the fact that when a and b are positive integers. Problem ...Successive weekly sales, in units of one thousand dollars, have a bivariate normal distribution with common mean 40, common standard deviation 6, and correlation .6. (a) Find the probability that the total of the next 2 ...Suppose that each of the elements of S = {1, 2, . . . , n} is to be colored either red or blue. Show that if A1, . . . ,Ar are subsets of S, there is a way of doing the coloring so that at most of these subsets have all ...Prove that if E[Y|X = x] = E[Y] for all x, then X and Y are uncorrelated; give a counterexample to show that the converse is not true. Prove and use the fact that E[XY] = E[XE[Y|X]]. Use the conditional variance formula to determine the variance of a geometric random variable X having parameter p.Post your question

0