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22 January, 03:05

Consider a normal distribution curve where 90-th percentile is at 20 and the 25-th percentile is at 10. use this information to find the mean, μ, and the standard deviation, σ, of the distribution.

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  1. 22 January, 03:30
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    The 25th percentile corresponds to z ≈ - 0.67.

    The 90th percentile corresponds to z ≈ 1.28.

    So, you can write two equations in μ and σ as here:

    ... μ - 0.67σ = 10

    ... μ + 1.28σ = 20

    The solution is

    ... μ ≈ 13.45

    ... σ ≈ 5.11
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