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5 January, 17:39

The time it takes runners to complete a certain marathon are normally distributed with a mean of 4.6 hours and a standard deviation of 1.1 hours

What is the time for a runner with a z-score of - 1.2

Round to the nearest hundredth

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  1. 5 January, 21:05
    0
    The time for this z-score is 3.28.

    The formula for z-scores is

    z = (X-μ) / σ

    Using our information, we have

    -1.2 = (X-4.6) / 1.1

    Multiply both sides by 1.1:

    -1.2 (1.1) = X - 4.6

    -1.32 = X - 4.6

    Add 4.6 to both sides:

    -1.32 + 4.6 = X - 4.6 + 4.6

    3.28 = X
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