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09-12-2016
Mathematics

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Suppose a car manufacturer believes its windscreen wipers will last on average for three years on their cars if driven by a typical driver in the province. Moreover, the manufacturer believes the lifetime of the wipers under such conditions is Normally distributed with a standard deviation of two years. Find the probability that, if on a car driven by a typical driver, a windscreen wiper lasts for a time that is not within 1.7 years of the mean lifetime.
The probability is:?

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Nirina7 Nirina7

11-12-2016

this may help you

You need to calculate the z-scores for (3.0 - 1.7) years and (3.0 + 1.7) years. Then you use a standard normal distribution table to calculate the required probability.
The formula for finding the z-score is z=X−μσ

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