# Question: A department store manager has monitored the number of complaints

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?

## Relevant Questions

A corporation receives a particular part in shipments of 100. Research indicated the probabilities shown in the accompanying table for numbers of defective parts in a shipment. a. What is the probability that there will be ...The probability of A is 0.60, the probability of B is 0.45, and the probability of both is 0.30. What is the probability of either A and B? Given A = [E1, E3, E7, E9] and B = [E2, E3, E8, E9]. a. What is the intersection of A intersection B? b. What is the union of A and B? c. Is the union of A and B collectively exhaustive? A video movie store owner finds that 30% of the customers entering the store ask an assistant for help and that 20% of the customers make a purchase before leaving. It is also found that 15% of all customers both ask for ...A conference began at noon with two parallel sessions. The session on portfolio management was attended by 40% of the delegates, while the session on chartism was attended by 50%. The evening session consisted of a talk ...Post your question