(a) If the research team continues to run laboratory tests, what is the mean number of trials until failure? Round your answer to two decimal places (e.g. 98.76). (b) What is the probability that the first failure occurs on the tenth trial? Round your answer to four decimal places (e.g. 98.7654). i (c) To improve the recognition algorithm, a chief engineer decides to collect 10 failures. How many trials are expected to be needed? Round your answer to one decimal place (e.g. 98.7). i
(a) If the research team continues to run laboratory tests, what is the mean number of trials until failure? Round your answer to two decimal places (e.g. 98.76). (b) What is the probability that the first failure occurs on the tenth trial? Round your answer to four decimal places (e.g. 98.7654). i (c) To improve the recognition algorithm, a chief engineer decides to collect 10 failures. How many trials are expected to be needed? Round your answer to one decimal place (e.g. 98.7). i
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:A research team has developed a face recognition device to match photos in a database. From laboratory tests, the recognition
accuracy is 91% and trials are assumed to be independent.
(a) If the research team continues to run laboratory tests, what is the mean number of trials until failure?
Round your answer to two decimal places (e.g. 98.76).
(b) What is the probability that the first failure occurs on the tenth trial?
Round your answer to four decimal places (e.g. 98.7654).
i
(c) To improve the recognition algorithm, a chief engineer decides to collect 10 failures. How many trials are expected to be needed?
Round your answer to one decimal place (e.g. 98.7).
i
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