1.The outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment is conducted in which the outcomes of each of the two variables are observed. The probabilities associated with each of the six possible outcome pairs are given in the accompanying two-way table. Consider the events below. Complete parts a through h.

On Off

Low 0.49 0.25

Medium 0.12 0.05

High 0.06 0.03

A: {Low}

B: {Low or On}

C: {Off and Medium}

D: {High}

a. Find P(A).

P(A)equals=

(Type an exact answer in simplified form.)

b. Find P(B).

P(B)equals= (Type an exact answer in simplified form.)

c. Find P(C).

P(C)equals= (Type an exact answer in simplified form.)

d. Find P(D).

e.Find fP(AB)=

f. Find P(AC)

2.For two independent events, A and B, P(A)equals=. 4 and P(B)equals=. 4

a. Find P(AB).

b. Find P(A|B).

c. Find P(AB).

3.A recent survey was conducted of the 25 largest public companies in a particular country. Of these 25companies, 3 were banking or investment companies based in city X. A total of 14 city X companies were on the top 25 list. Suppose we select one of these 25 companies at random. Given that the company is based in city X, what is the probability that it is a banking or investment company?

The probability is. (Round to three decimal places as needed.)