A computer is programmed to generate the eight single-digit integers 1, 2, 3, 4, 5, 6, 7, and 8 with equal frequency. Consider the experiment

“the next integer generated” and these events:

A: odd number, {1, 3, 5, 7}

B: number greater than 4, {5, 6, 7, 8}

C: 1 or 2, {1, 2}

a. Find P(A).

b. Find P(B).

c. Find P(C).

d. Find P(C).

e. Find P(A and B).

f. Find P(A or B).

g. Find P(B and C). h. Find P(B or C).

i. Find P(A and C). j. Find P(A or C).

k. Find P(A  B). l. Find P(B  C).

m. Find P(A  C).

n. Are events A and B mutually exclusive?

Explain.

o. Are events B and C mutually exclusive?

Explain.

p. Are events A and C mutually exclusive?

Explain.

q. Are events A and B independent? Explain.

r. Are events B and C independent? Explain.

s. Are events A and C independent? Explain.