1 Let A and B be independent events with P(A) and P(B) = FICE Find P(ANB) and P(AUB). 8 P(ANB) = P(AUB) =
Problem 1. Justify your answers to the following. (a) Let A, B, C be independent events. Are AuB and C independent? (b) Let K, L, M be three events such that any two are independent. Are KUL and M necessarily independent events? (c) Let E, F, G be independent events. Express is P(EUFUG) in terms of P(E),P(F), and P(G)
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)
statistics, help me please q19 19/ 20 Let A, B be independent events. If P(A) = 0.4 and P(B) = 0.7, then P(AUB) equals A)0.12 B)0.18 C)0.88 D)O.82 E) 0.72 19/ 20 Let A, B be independent events. If P(A) = 0.4 and P(B) = 0.7, then P(AUB) equals A)0.12 B)0.18 C)0.88 D)O.82 E) 0.72
Suppose that A and B are independent events such that P (A) = 0.40 and P(B) = 0.60. Find P(An B) and P(AUB). (If necessary, consult a list of formulas.) (2) P(AnB) = 1 (b) P(AUB) Х 5 ?
Let A and B be two events such that P (A) = 0.68 and P(B) = 0.01. Do not round your responses. (If necessary, consult a list of formulas.) (a) Determine P (AUB), given that A and B are independent. U (b) Determine P (AUB), given that A and B are mutually exclusive. X 5 ?
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)
#5. Let A and B be events where P(A) 1/3 and P(B)-14. Show bounds for P(AUB) and PANB)
5. Suppose A, B are events such that P(A) = 1/3, P(B) = 1/4, find P(AUB) under each of the following assumptions: (a) If A and B are mutually exclusive (disjoint). (b) If A and B independent.
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