If A and B are independent events, P(A n B) = P(A) * P(B)
Option-D) is incorrect. Because P(A U B) = P(A) + P(B) - P(A n B) = P(A) + P(B) - P(A) * P(B)
2) Suppose A and B are independent events, then() is incorrect. PCAIB) P(A) O P(AnB) P(A)P(B)...
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) =
2) Suppose A and B are independent events, then) is incorrect. A P(AB) P(A) ( PCA n B) = P(A)P(B) P(AIB) = P(A) ⓑ P(A u B)-P(A) + P(8)
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 ?
Suppose that P(A)0.5, P(B)0.2, P(C) 0.3, P(AnB) 0.1 and P(AnC) 0.1. Compute the following: (a) (2 points) P(AUB) b) (6 points) P(A UC) (c) (4 points) Are the events A and B independent? What about A and C? (d) (8 points) If the sets B and C are mutually exclusive sets, what is P(A U B U C)?
Suppose that A and B are independent events such that P(A) 0.70 and P(B) 0.60. Find P(An B) and P(AUB). (If necessary, consult a list of formulas.) Clear Undo Prev. Question Next Question
2.2.28 2.4.8 2.4.50 five (a) AUB-B 80f (1) AnB=A et B five 2.2.28. Let events A and B and sample space S be define the as the following intervals: S={x : 0 < x < 10} A={x : 0 < x <5) the Characterize the following events: as (a) AC (b) An B (c) AUB (d) AnB (e) ACUB (f) AC n B 2.2.29. A coin is tossed four timo that chip together two additional red are pu back into...
Suppose that A and B are independent events such that P(A) = 0.40 and P(B) = 0.20. Find P(An B) and P(AUB). (If necessary, consult a list of formulas.) (a) P(A n B) = 0 (b) P(A U B) = 0 Х $ ? At a factory that produces pistons for cars, Machine 1 produced 145 satisfactory pistons and 145 unsatisfactory pistons today. Machine 2 produced 360 satisfactory pistons and 40 unsatisfactory pistons today. Suppose that one piston from Machine...
Suppose we have two events A and B. Suppose further that P(A) - 0.1, PB)-0.2, and P(AUB) = 0.3. a. [2 marks] Calculate P(A NB) b. [2 marks] Use the mathematical definition of independence to determine if A and B are independent. Conclude in a single sentence. Use only one of the two appropriate c. [2 marks] Use the mathematical definition of mutual exclusivity to determine if A and Bare mutually exclusive. Conclude in a single sentence. MacBook Air #58...
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)
2. Let A and B be events in a sample space such that P(A) -0.5. P(ANB) -0.3 and PLAUB)=0.8. Calculate: 1) P(AB): ii) P(BA): iii) PIBIA B): be independent of A and such that B and Care Let the event C in mutually exclusive. Calculate: iv) P(AC); v) PIANBNC). (8 Marks)