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18 July, 21:47

A company installs 5,000 light bulbs. the lifetimes of the lightbulbs are approximately normally distributed with a mean of 500 hours and a standard deviation of 100 hours. find the approximate number of bulbs that can be expected to last the indicated amount of time. between 500 hours and 675 hours

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  1. 19 July, 01:09
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    First, determine the z-score of 675.

    z = (675 - 500) / 100 = 1.75

    The z-score of 500 is,

    z = 0.

    Subtracting the z-scores will give us 1.75. This is equal to 0.9599.

    = 0.9599 - 0.5 = 0.4599

    Multiplying this to the given number of light bulbs,

    n = 0.4599 x 5000 = 2299.5

    Therefore, there is approximately 2300 light bulbs expected to last between 500 to 675 hours.
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