Given Bayes formula P(R I8)PE IA) P(A) P(B) Compun tae fellowing P(AIB
Solve 2-143 please (2-7 Bayes' Theorem) Suppose that P(AIB) 0.6, P() 0.4, and P(B 0.3 Determine P(BIA). 2-143. Suppose that P(AIB)-0.5, P(AIB) 0.1, and P(B)- 0.7. Determine P(BIA).
Recall Bayes' Rule P(AIB) = P(A)P(B|A) PB) Suppose 1 in 100 birds is a duck. 1 in 10 birds walks and talks like a duck (for instance, some geese walk and talk like ducks despite not being ducks) 9 out of 10 ducks walk and talk like a duck (some ducks refuse to conform. Here I am saying that the bird walks and talks like a duck, given that the bird is a duck) The probability that a bird is...
What is the correct formula for Bayes' theorem? a) P(XY) = am b) P(XY) = P(xor PY) c) P(X|Y) = PRAXIS d) P(X\Y) = POUR Submit Answer format: Text unanswered not_submitted #2 From the following new information, given low demand, what is the probability of an improving economy? Improving Economy Not improving economy 0.76 Given high demand 0.5 Given Low demand Points: 5/17 Grade: 29.4% Progress: 29.4% Hide
according to bayes theorem , the probability of event a , given that event b has occured is as follows p(a)=1/4. p(a')=3/4, p(b/a)=1/7, and p(b/a')=7/10 The probability of event a , given that event b has occurred is p(a/b)=
5. Let A, B be events. (a) Calculate P(AB') if you are given that A, B are independent and P(A) (b) Calculate P(A) if you are given that P(AIB') P(AIB)
Bayes’ Theorem is an important probability result relating the condition probabilities P(A|B) and P(B|A). Here we develop the formula. (a) Let A and B be events. What is the definition of P(A|B)? What is the definition of (B|A)? (b) Compute P(A|B)·P(B) and P(B|A)·P(A). (c) Find an expression for P(B|A) in terms of P(A), P(B) and P(A|B). (d) Suppose P(B) =P(A) and P(A|B) = 0.7, find P(B|A).
1. Use the formula P(A) PABP(B) + P(AlBc)P(B") to prove that if P(AB) P (AlBc) then A and B are independent. Then prove the converse (that if A and B are independent then P(AIB)- P(ABe). [Assume that P(B) > 0 and P(B) > 0.]
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)
Use the compound interest formula A=P(1+r)^t and the given information to solve for r. A=9,000,000 P=60,000 t=40
5. Let A, B be events. (a) Calculate P(AlE') if you are given that A, B are independent and P(A) (b) Calculate P(A) if you are given that PAIB')-P(AIB-t