1. Events Aand Bina probability experiment give P(A) 0.6, P(8)-04, and P(A or B) a. Determine...
8. (1 point) Consider an experiment with events A and B, for which P(A)=0.2, and P(B)=0.4. A and B are independent. What is P(A V B)?
1. If P(A) = 0.4, P(B) = 0.6, P(C) = 0.3, P = 0.24, P = 0.15 and P(A U C) = 0.82. Which of the events A, B and C are independent? Give reasons for your answers. (A B) We were unable to transcribe this image
(1) Suppose that A and B are events with P[A] = 0.4 and P[B] = 0.7. Show that 0.1 < PAB < 0.4. Justify your answer clearly. P(ANB) - PCA) PCB) = 0.4.0.7 = 0.28 with 0.15 0.28 <0.4 PLA) occuring 04 P(B) occuring 0.7 P of both events occuring at the same time should be = 0.28 which is in Ran 0,4 1028 0.7 2/10
Assume that A and B are events in a probability space with the property that P(A) = 0.5, P(B) = 0.6, and P(A ∪ B) = 0.9. 1. Explain why A and B cannot be independent. 2. Is A favorable or unfavorable to B? (Remember that an event E is said to be favorable to F if P(F|E) > P(F); that is, if the knowledge that E occurred increases the plausibility of F.)
(b) Construct an experiment and three associated events A, B and C such that A and B are not independent, but AC and BC are independent. Justify your answer with calculations
Given P(A) = 0.6 and P(B) = 0.3 If A and B are mutually exclusive events, compute P(A or B). If P(A and B) = 0.2, compute P(A or B). If A and B are independent events, compute P(A and B). If P(B|A) = .1, compute P(A and B).
1. The events A and B are such that P(A) = 0.4, P(B) = 0.6 and P(A U B) = 0.7. Find P(A' U B'). Show diagrams.
Tesponse. Question 6 Let A and B be two events, such that P(A)=0.6, P(B)=0.4 and P((not A) and (not B))=0.2. (6 Please give your answer as simplified fraction or decimal number (e.g. 3/4 or 0.75) a) Find P(A or B)= 0.76 b) Find P((not A) and (B))= || I c) Find P( AB)=
question1: Suppose A, B & C are independent events with common probability = .20 Determine P(A U B U C) question2: A coin with P(heads) = p is tossed until heads appears. Determine the probability it takes an odd number of tosses.
2-142. Suppose that P(A1 B) Determine P(BIA). : 0.6, P(A)-04, and P(B)-0.3. / 2-143. Suppose that P(AIB)=0.5,PCAI B)-0.1, and P(B) 0.7. Determine P(BIA).