1. X and Y are independent if fx\y(¤ | y) = fy(y). 2. min(X, Y) are considered as function of random variables X and Y. 3. E(X + Y) = E(X)+ E(Y) only if X and Y are independent.

If | A| = 10 and |B| = 7, what is |AU B|+|An B|?

2 1. Let ū = -3 7 = Find 1

I want written justification along.

For "x is in the symmetric difference of A and B" give an equivalent statement that uses "x is in A"  and "x is in B".

If then A 1 = ☐ ☐ A || = 1 -1 -2 2 1 " -2 1 2

It is known that P(A) = 0.7, P(B) = 0.4 and P(A and B) = 0.24. Which of the following is true?     a. A and B are Independent b. A and B are both independent and mutually exclusive (disjoint). c. A and B are neither independent nor mutually exclusive (disjoint) d. A and B are Mutually Exclusive (disjoint)

If | A| = 9 and |B| = 7, what is |A UB|+|An B?