Assignment 4 Q2 alternative solution

Assignment 4 Q2 alternative solution - Alternative solution...

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Unformatted text preview: Alternative solution to Q2, Assignment 4 It seems that there exists another answer to question 2 (i.e. in addition to the one posted in the current solution set, which is also what the GSIs assumed in office hours). It seems that one can potentially make a different assumption about the information provided in the question, which can change the answer. If you gave either solution (the one in the original solution set or the one shown below), you were given full marks. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ A: the event that a radio was produced at factory A B: the event that a radio was produced at factory B D1: the event that the first radio you check is defective D2: the event that the second radio you check is defective Given: =0.5 = = =0.05 = =0.01 By Bayes’ formula: = + = 0.05 ∗ 0.5/ 0.05 ∗ 0.5 + 0.01 ∗ 0.5 = 0.833 Same thing for : = /{ + }= 1 − =0.167 The probability that the second radio you check is defective under the condition that the first radio you check is defective: = = ∩ ∩ + ∗ + = 0.05*0.833+0.01*0.167=0.043 ∗ ...
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This note was uploaded on 09/19/2011 for the course CE 93 taught by Professor Hansen during the Fall '10 term at Berkeley.

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