Quiz 1m past info - Quiz 1m Started October 6 2006 4:58pm...

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Quiz 1m Started:   October 6, 2006 4:58pm Finished:   October 6, 2006 5:28pm Time spent:   30 min. 6 sec. Question 1    (5 points) A company makes computers which contain a chip which is supplied by three vendors with equal likelihood.  Vendors are known to supply defective chips with the following probabilities 'A' .003; 'B' .002; and 'C' .001. If a  computer is found to have a bad chip what is the probability that the chip came from vendor 'A'?  Student response: Using Bayes Theorem P[A\B]=P[A|B]P[B]/P[A] we find that the probability bad chip came  from vendor A is (1/.002*.002/(.002+.001))/((1/.002)*(.002/(.002+.001)= .001 Score: 3 / 5 Grader comments math errors--P(bad)= 1/3(.001+.002+.003)=.002; P(A|bad)= ((.003)1/3)/.002= 1/2 Question 2    (5 points) Given two events A and B, and that the probabilty of their intersection is the product of the individual probabilities.  Are events A and B independent?  Student response: If two events have a non-zero probability of occurrence, then by comparison it is established  that two events cannot be independent. In order for them to be independent they must have  an intersection. Since there is a probability of an intersection then events A and B are  independent. Score: 5 / 5 Total score: 8 / 10  =  80.0% Quiz 1m User ID:   williamng Attempt:   1 / 1 Out of:   10 Started:   January 13, 2006 11:55am Finished:   January 13, 2006 12:13pm Time spent:   17 min. 28 sec.
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