Suppose that, starting at a certain time, batteries coming off an assembly line
ID: 3059272 • Letter: S
Question
Suppose that, starting at a certain time, batteries coming off an assembly line are examined one by one to see whether they are defective (let D-defective and N = not defective). The chance experiment terminates as soon as two nondefective batteries have been obtained (a) Let A denote the event that at most two batteries must be examined before the chance experiment terminates. What outcomes are contained in A? A = {NN, DNN, NDN) @ A = {DD. NDD. DND} @ A = {NN. DNN, NDN. DDNN, DNDN, NDDN} A = { DD, NDD, DND, NDN, NNDD, NDND, DNND) (b) Let B be the event that exactly four batteries must be examined before the chance experiment terminates. What outcomes are in B? @ B = {DDNN, NDDN. DNDN) @ B = {NNDD. DNND. NDND) B-DDNN, NDDN, DNND, DNDN, NDND, DNND, NNNN, DDDD) @ B = {DN. ND. DD, NN} (c) What can be said about the number of possible outcomes for this chance experiment? There are Select number of possible outcomes.Explanation / Answer
Suppose that, starting at a certain time, batteries coming off an assembly line are examined one by one to see whether they are defective (let D-defective and N = not defective). The chance experiment terminates as soon as two nondefective batteries have been obtained (a) Let A denote the event that at most two batteries must be examined before the chance experiment terminates. What outcomes are contained in A? A = {NN, DNN, NDN) @ A = {DD. NDD. DND} @ A = {NN. DNN, NDN. DDNN, DNDN, NDDN} A = { DD, NDD, DND, NDN, NNDD, NDND, DNND) (b) Let B be the event that exactly four batteries must be examined before the chance experiment terminates. What outcomes are in B? @ B = {DDNN, NDDN. DNDN) @ B = {NNDD. DNND. NDND) B-DDNN, NDDN, DNND, DNDN, NDND, DNND, NNNN, DDDD) @ B = {DN. ND. DD, NN} (c) What can be said about the number of possible outcomes for this chance experiment? There are Select number of possible outcomes.
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