Unformatted text preview: if Q is observed, further items are sampled until S or U is observed. Let P(S)=p S , P(Q)=p q , and P(U)=p U subject to (p S +p q +p U =1). ♦ What is the probability of corrective action being given in a given test period? ♦ Give the distribution and mean of the number of times corrective action is taken in n inspection periods. • A lake contains N fish. A sample of k fish is taken and tagged and released back into lake. After a period of time for the fish to mix thoroughly with other fish in the lake, you sample n fish and observe Y , the number of tagged fish in sample. Assume no fish have died and the lake is a closed system. ♦ What is the probability that you have y tagged fish in your sample? ♦ Suppose k =100, n =500, and y =50. What value of N has the maximum probability of this occurrence the largest? You will need to use a computer for this. Can you generalize this result to generic k , n , and y ? This is referred to as capturerecapture sampling....
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 Spring '08
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 Probability, Probability theory, Corrective action, times corrective action

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