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10 May, 03:09

The heights of fully grown English oak (also known as Brown oak) trees are normally distributed with a mean of 95 feet and a standard deviation of 10 feet. What proportion of fully grown English oak trees are taller than 110 feet?

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  1. 10 May, 06:15
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    Standard normal distribution formula is

    z = (x - μ) / σ

    μ = 95

    σ = 10

    z = (110-95) / 10

    = 1.5

    the probability z>1.5 using the standardization table = 0.0668

    P (z > 1.5) = 0.0668
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