Car inspection: Of all the registered automobiles in a city, 7% fail the emissions test. Eleven automobiles are selected at random to undergo an emissions test. Round the answers to four decimal places. Part 1 of 4 (a) Find the probability that exactly four of them fail the test. The probability that exactly four of them fail the test is . Part 2 of 4 (b) Find the probability that fewer than four of them fail the test. The probability that fewer than four of them fail the test is . Part 3 of 4 (c) Find the probability that more than three of them fail the test. The probability that more than three of them fail the test is . Part 4 of 4 (d) Would it be unusual for more than two of them to fail the test? It (Choose one) be unusual for more than two of them to fail the test since the probability is .
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Step 1
Using the binomial probability formula, we have: P(X = 4) = 11C4 * (0.07)^4 * (0.93)^7 P(X = 4) = 330 * 0.000002401 * 0.478297528 P(X = 4) = 0.000364 Show more…
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Car Inspection: Of all the registered automobiles in a city, 7% fail the emissions test. Thirteen automobiles are selected at random to undergo an emissions test. Round the answers to four decimal places. (a) Find the probability that exactly three of them fail the test. The probability that exactly three of them fail the test is (b) Find the probability that fewer than three of them fail the test. The probability that fewer than three of them fail the test is (c) Find the probability that more than two of them fail the test. The probability that more than two of them fail the test is (d) Would it be unusual for none of them to fail the test? It (Choose one) be unusual for none of them to fail the test since the probability is
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