The prior probabilities of events A1, A2 and A3 if P(A1)=0.20, P(A2)=0.50 and P(A3)=0.30. Theconditional probabilities of event B given events A1, A2 and A3 are P(B | A1)=0.50, P(B | A2)=0.40and P(P | A3)=0.30.a) Calculate P (BQ A1), P(BQ A2) and P(BQ A3).b) Use Bayes' theorem to calculate the posterior probability P(A2 | B).c)Use the tree method to employ Bayes' theorem to calculate P(A1 | B), P(A2 | B), andP(A3 | B)

Given that , P(A1) = 0.20P(A2) = 0.50P(A3) = 0.300.500.400.30

Answered: The prior probabilities of events A1,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Find P(A or B or C) for the given probabilities. P(A) = 0.33, P(B) = 0.24, P(C)= 0.19 P(A and B) = 0.11, P(A and C) = 0.02, P(B and C) = 0.09 P(A and B and C) = 0.01 P(A or B or C) =
The prior probabilities for events A1, A2, and A3 are P(A1) = 0.10, P(A2) = 0.60, and P(A3) = 0.30. The conditional probabilities of event B given A1, A2, and A3 are P(B|A1) = 0.50, P(B|A2) = 0.40, and Р(B Аз) 3D 0.20. Round your answers to two decimal places. a. Compute P(B n A1) , P(BN A2), and P(BN A3). P(BN A1) = 0.05 P(BN A2) = 0.24 P(BN A3) = 0.06 b. Apply Bayes' theorem, to compute the posterior probability P(A2|B). P(A; N B ) = P(A;)P(B|A;) P(A1)P(B|A1 )+ P(A2)P(B|A2 )+...+ P(A,)P(B|A,) c. Use the tabular approach to applying Bayes' theorem to compute P(A1|B), P(A2|B), and P(A3|B). P(A; N B) Events P(A;) P(B|A;) P(A;|B) A1 A2 A3 Total:
Events A & B are mutually exclusive. Event a occurs with probability 0.1 and event B occurs with probability 0.08. Compute the probability that a does not occur or B does not occur or both. Compute the probability that either a occurs without be occurring or A and B both occur.
According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(BA) P(A) P(B| A) + P(A') .P (BIA) Use Bayes' Theorem to find P(A| B) using the probabilities shown below. P(A| B)= 1 1 = 5₁, P (A') = √ √, P(B| A) = 7 7 6 6 P(A) = יד and P (BIA) 1 2 The probability of event A, given that event B has occurred, is P(A| B)= (Round to the nearest thousandth as needed.)
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T1.8 Let A and B be two events with probabilities P(A)=.35, P(B)=.40 and P(A U B)=.6. a) Find P(A intersection B) b) Find P(A | B) c) Are events A and B independent or not?
and V are mutually exclusive events. P(U) = 0.29; P(V) = 0.52. Find: a. P(U and V) = b. P(U|V) = c. P(U or V) =
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