a. Find the probability of A. b. Find the of B c. Find the probability of the in

Question

a. Find the probability of A. b. Find the of B c. Find the probability of the intersection of A and B. 3.16 If two events are mutually exclusive, we know that the of their union is the sum of their in- dividual probabilities. However, this is not the case for events that are not mutually exclusive. Verify this assertion by considering the events A and B of Exercise 3.2. 17 A department store manager has monitored the n ber of complaints received per week about poor ser- vice. The probabilities for numbers of complaints in a week, established by this review, are shown in the fol lowing table. Let A be the event "there will be at least

Explanation / Answer

Now, P(A) = P(E1) + P(E3) + P(E7) + P(E9) and P(B) = P(E2) + P(E3) + P(E6) + P(E9).

Union of A and B ={E1, E2, E3.E7,E8,E9} and so.

P(Union of A and B) = P(E1) + P(E2) + P(E3) + P(E7) + P(E8) + P(E9). …………… (1)

P(A) + P(B) = P(E1) + P(E2) + 2P(E3) + P(E6) + 2P(E7) + P(E9) ……………………(2)

Clearly (1) (2) => P(Union of A and B) P(A) + P(B) DONE

[additional input: in general P(Union of A and B) = P(A) + P(B) – P(AB)]

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.