# Question

A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the following table. Let A be the event “there will be at least one complaint in a week” and B the event “there will be fewer than ten complaints in a week.”

a. Find the probability of A.

b. Find the probability of B.

c. Find the probability of the complement of A.

d. Find the probability of the union of A and B.

e. Find the probability of the intersection of A and B.

f. Are A and B mutually exclusive?

g. Are A and B collectively exhaustive?

a. Find the probability of A.

b. Find the probability of B.

c. Find the probability of the complement of A.

d. Find the probability of the union of A and B.

e. Find the probability of the intersection of A and B.

f. Are A and B mutually exclusive?

g. Are A and B collectively exhaustive?

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