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 following events:
A: {On}
B: {Medium or On}
C: {Off and Low}
D: {High}
a. Find P(A).
b. Find P(B).
c. Find P(C).
d. Find P(D).
e. Find P(Ac).
f. Find P(A ‹ƒ B).
g. Find P(A ˆ© C).
h. Consider each pair of events (A and B, A and C, A and D, B and C, B and D, C and D). List the pairs of events that are mutually exclusive. Justify your choices.

Transcribed Image Text:

Low Medium High On Off 50 .25 10 .07 .05 .03