3. Let A and B be events. Show that P(AB(AUB)) P(ABA). When does equality hold?
3. Let A and B be events. Show that P(ABl(AUB)) P(AB|A). When does equality hold?
#5. Let A and B be events where P(A) 1/3 and P(B)-14. Show bounds for P(AUB) and PANB)
Two events A and B are such that P(A)2, P(B).3, and P(AUB) -4. Find following: a P(An B) b P(AUB) d P(AB) If A and B are independent events with P(A)and P(B) .2, find the following: a P(AUB) b PAnB) c P(AU B)
let A and B be any 2 events with p(A)=0.2; P(AUB)=0.35; P(A and B)= 0.15 find P(A|B) QUESTION 25 Let A and B be any 2 events with p(A) 0.2; P(AUB) 0.35; P(A and B) 0.15 a.0.25 Find P(A|B) b.0.5 c.0.6 d.0.4
Question 5 1 pts If A and B are mutually exclusive events, then P(AB) = P(AUB) Not enough information to answer the question O False O True
3. Let A, B, C be events in a sample space S. Prove that (a) P(AUB) P(A)P(B), (b) P(AUBUC) P(A)+P(B)+P(C)-P(AnB)-P(Anc)-P(Bnc)+P(AnBnc)
Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7. (a) Find P(A n B). 0.2 (b) Find P(AUB). 0.8 (c) Find P(An B). 0.3 (d) Find P(AB). (Enter your probability as a fraction.) 1/2
2. a) Let A and B be two events such that P(A) 4, P(B) .5 and P(AnB) 3 Find P(AUB). b) Let A and B be two events such that P(A)-5, P(B) 3 and P(AUB) .6. Find P(An B)
1 1 Let A and B be independent events with P(A) = 3 and P(B) = 3 : Find P(A n B) and P(AUB).
Let A and B be two events such that P(A)=0.35, P(B)=0.3 and P(AB)=0.5. Let A' be the complement of A and B' be the complement of B. (give answers to TWO places past decimal) 1. Compute P(A'). 0.65 Submit Answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous Tries 2. Compute P (AUB). .5 Submit Answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous Tries 3....