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(i) Find the missing probabilities (*) in the table. (ii) Find P(B3|A1) and P(A\B3) (iii) Are events Al and B1 statistically indenendant

(i) Find the missing probabilities (*) in the table. (ii) Find P(B3|A1) and P(A\B3) (iii) Are events Al and B1 statistically indenendant

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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12 Al, A2 and A3 are three mutually exclusive and exhaustive sets of evennts associated with a random experiment E1. Events B1, B2 and B3 are mutually exclusive and exhaustive sets of events associated with a random experiment E2. The joint probabilities of occurrence of these events and some marginal probabilities are listed in the table given below: B1 B2 B3 A1 3/36 5/36 A2 5/36 4/36 5/36 АЗ 6/36 P(Bj) 12/36 14/36 (i) Find the missing probabilities (*) in the table. (ii) Find P(B31A1) and P(AI\B3) (iii) Are events Al and B1 statistically independent.
Transcribed Image Text:12 Al, A2 and A3 are three mutually exclusive and exhaustive sets of evennts associated with a random experiment E1. Events B1, B2 and B3 are mutually exclusive and exhaustive sets of events associated with a random experiment E2. The joint probabilities of occurrence of these events and some marginal probabilities are listed in the table given below: B1 B2 B3 A1 3/36 5/36 A2 5/36 4/36 5/36 АЗ 6/36 P(Bj) 12/36 14/36 (i) Find the missing probabilities (*) in the table. (ii) Find P(B31A1) and P(AI\B3) (iii) Are events Al and B1 statistically independent.
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