Solution:
Given in the question
P(B/A) = P(A intersection B)/P(A)
P(A/B) = P(A intersection B)/P(B)
P(B/A) =P(A/B)*P(B)/P(A)
P(A) =P(A/B)*P(B)/P(B/A) = 0.5*0.7/P(B/A) = 0.35/P(B/A)
P(A/B') = P(A)((1-P(B/A))/((1-P(B))
0.1*P(B/A)=0.35(1-P(B/A))/(1-0.7)
0.03P(B/A) = 0.35-0.35P(B/A)
0.38P(B/A) =0.35
P(B/A) =0.35/0.38 = 0.92
Solve 2-143 please (2-7 Bayes' Theorem) Suppose that P(AIB) 0.6, P() 0.4, and P(B 0.3 Determine...
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).
Hi,
i want the solution of question 144.
Thanks.
2-7 Bayes' Theorem 2-142. Suppose that P(ATB)=0.6. P(A) = 0.4, and P(B) = 0.3. Determine P(BIA). 2-143. Suppose that P(AIB)=0.5, P(AI B') = 0.1, and P(B) = 0.7. Determine P(BIA). 2-144. Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is found that 1% of the legitimate users originate calls from two or more metropolitan areas in a single day....
26. (2pts) Suppose P(AIB) 0.3 and P(B) 0.4. Find P(An B) 0.6, P(B) 0.4, and PAnB) 0.24. Find P(A'n B). Drawing a Venn Diagram may 27. (2pts) Suppose P(A) help.
10. Suppose that A and B are mutually exclusive events for which P(A) 0.4,P(B) 0.3. The probability that neither A nor B occurs equals a) 0.6 b) 0.1 c)0.7 d0.9
0.7 0.2 0.1 0.2 0.6 0.2 0.1 0.4 0.5 Check the time reversibility π,B- π, P,
0.7 0.2 0.1 0.2 0.6 0.2 0.1 0.4 0.5
Check the time reversibility π,B- π, P,
4. Basic Computation: Addition Rule Given P(A) = 0.7 and P(B) = 0,4 (a) Can events A and B be mutually exclusive? Explain. | (b) If P(A and B) = 0.2, compute P(A or B). 3. Basic Computation: Multiplication Rule Given P(A) = 0.2 and P(B) = 0.4: (a) If A and B are independent events, compute P(A and B). (b) If P(AIB) = 0.1, compute P(A and B). 6. Basic Computation: Multiplicat (a) If A and B, are independent...
.If P(B/A)-1, P(B)-0.5, and P(A)-0.3, what is P(A'/B)? (A' is A complement) 0.15 0.6 0.85 0.4
2.40 Given that P(A)0.3, P(B) 0.5 and P(B|A)0.4, find the following a) P(AB) b) P(A|B) e) P(A'IB) d) P(AIB)
1. (15pts) Events A, B and C are such that P(A) = 0.7, P(B) = 0.6, P(C) = 0.5, P(AnB) = 0.4 , P(AnC) = 0.3, P(BnC) = 0.2, P(AnBnC) Find (a) either B or C happens (b) at least one of A, B, C happens; c) exactly one of A, B, or C happens. 0.1.
Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4, 0.7/5, 0.4/6, 0.3/7, 0.2/8, 0.1/9 Answer the following questions: (I)Sketch the membership functions of A and B sets (ii Compute and sketch C=AOB & D=AUB; (iii) Is the following relation true/false? Please clarify ACB
Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4,...