It was estimated that 30% of all seniors on a campus were seriously concerned about employment prosp
Question: A department store manager has monitored the number of complaints received per week about poor service. The probabilities for number of complaints in a week, established by this review, are shown in the table. Lat A be the event “There will be at least one complaint in a week” and B the event “There will at most 3 complaints in a week”
Number of complaints 0 1 2 3 4 5
Probability 0.14 0.39 0.23 0.15 0.06 0.03
(a) Find the probability of event A.
(b) Find the probability of event B.
(c) Describe the event that is the complement of A and find its probability.
(d) Describe the event that is the union of A and B and find its probability.
(e) Describe the event that is the intersection of A and B and find its probability.
(f) Are A and B mutually exclusive?
(g) Are A and B collectively exhaustive?
Solution Format: Word Document
