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For a Normal distribution with mean, mu=2, and standard deviation, sigma = 4,

70% of all observations have values between x and y . (Round to 4 decimal places.)

  • Math -

    Consult your standard Z table. 35% of all observations occur between 0 and 1.04σ. So, 70% occur between -1.04σ and 1.04σ.

    So, that means that the actual values occur in
    2-1.04(4) <= x <= 2+1.04(4)
    -2.16 <= x <= 6.16

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