Last month, your company sold 1,000 new watches. Past experience indicates that the probability that a new watch will need repair during its warranty period is 0.002. Let X be the number of watches among the 1,000 that will need repair during its warranty period. X is binomially distributed with n = 1,000 and p = 0.002. The distribution of X, however, can be approximated using a distribution with mean equal to Using this approximating distribution, we find that the probability of having at most two watches (in the batch of 1000) needing repair within their warranty periods equals . (Express this value precise to three decimal places, e.g., 0.281, 0.335, 0.721.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Last month, your company sold 1,000 new watches.
Past experience indicates that the probability that a new watch will need repair during
its warranty period is 0.002.
Let X be the number of watches among the 1,000 that will need repair during its
warranty period.
X is binomially distributed with n = 1,000 and p = 0.002.
The distribution of X, however, can be approximated using a
distribution with mean equal to
Using this approximating distribution, we find that the probability of having at most
two watches (in the batch of 1000) needing repair within their warranty periods
equals
. (Express this value precise to three decimal places, e.g.,
0.281, 0.335, 0.721.)
Transcribed Image Text:Last month, your company sold 1,000 new watches. Past experience indicates that the probability that a new watch will need repair during its warranty period is 0.002. Let X be the number of watches among the 1,000 that will need repair during its warranty period. X is binomially distributed with n = 1,000 and p = 0.002. The distribution of X, however, can be approximated using a distribution with mean equal to Using this approximating distribution, we find that the probability of having at most two watches (in the batch of 1000) needing repair within their warranty periods equals . (Express this value precise to three decimal places, e.g., 0.281, 0.335, 0.721.)
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