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1.2: Normal Solution (Practice + Homework)

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    5829
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    1.

    ounces of water in a bottle

    3.

    2

    5.

    –4

    7.

    –2

    9.

    The mean becomes zero.

    11.

    \(z = 2\)

    13.

    \(z = 2.78\)

    15.

    \(x = 20\)

    17.

    \(x = 6.5\)

    19.

    \(x = 1\)

    21.

    \(x = 1.97\)

    23.

    \(z = –1.67\)

    25.

    \(z \approx –0.33\)

    27.

    0.67, right

    29.

    3.14, left

    31.

    about 68%

    33.

    about 4%

    35.

    between –5 and –1

    37.

    about 50%

    39.

    about 27%

    41.

    The lifetime of a Sunshine CD player measured in years.

    43.

    \(P(x < 1)\)

    45.

    Yes, because they are the same in a continuous distribution: \(P(x = 1) = 0\)

    47.

    \(1 – P(x < 3)\) or \(P(x > 3)\)

    49.

    \(1 – 0.543 = 0.457\)

    51.

    0.0013

    53.

    0.1186

    55.

    1. 57.

      0.154

      0.874

      59.

      0.693

      60.

      0.346

      61.

      0.110

      62.

      0.946

      63.

      0.071

      64.

      0.347

      66.

      c

      68.

      1. 70.
        1. 72.

          Let \(X =\) an SAT math score and \(Y =\) an ACT math score.

          1. 75.

            d

            1. 79.
              1. 81.
                1. 83.
                  1. 85.
                    1. 88.

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