alfred 發問於 科學及數學數學 · 3 年 前

Normal distribution?

Let X follows the normal distribution N(1,8).

Find

(a) P(X <= 2.4).

(b) P(X <= 2.1).

(c) Hence find P(-2.1 <= X <= 2.4).

1 個解答

評分
  • 3 年 前
    最佳解答

    Use the Normal Distribution Calculator online as shown below

    (a) P(X <= 2.4).

    =P(Z<=(2.4-1)/8)

    =P(Z<=0.175)

    =0.56946

    (b) P(X <= 2.1).

    =P(Z<=(2.1-1)/8)

    =P(Z<=0.1375)

    =0.55468

    (c) Hence find P(-2.1 <= X <= 2.4)

    P(X <= - 2.1)=0.34919

    P-2.1 <= X <= 2.4)=P(X <= 2.4) - P(X <= - 2.1)=0.56946-0.34919=0.22027 .....Ans

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