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4.11: Chapter Solution (Practice + Homework)

  • Page ID
    5559
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    1.

    \(x\)\(P(x)\)
    00.12
    10.18
    20.30
    30.15
    40.10
    50.10
    60.05
    Table \(\PageIndex{6}\)

    3.

    0.10 + 0.05 = 0.15

    5.

    1

    7.

    0.35 + 0.40 + 0.10 = 0.85

    9.

    1(0.15) + 2(0.35) + 3(0.40) + 4(0.10) = 0.15 + 0.70 + 1.20 + 0.40 = 2.45

    11.

    \(x\)\(P(x)\)
    00.03
    10.04
    20.08
    30.85
    Table \(\PageIndex{7}\)

    13.

    Let \(X =\) the number of events Javier volunteers for each month.

    15.

    \(x\)\(P(x)\)
    00.05
    10.05
    20.10
    30.20
    40.25
    50.35
    Table \(\PageIndex{8}\)

    17.

    1 – 0.05 = 0.95

    18.

    \(X =\) the number of business majors in the sample.

    19.

    2, 3, 4, 5, 6, 7, 8, 9

    20.

    \(X =\) the number that reply “yes”

    22.

    0, 1, 2, 3, 4, 5, 6, 7, 8

    24.

    5.7

    26.

    0.4151

    28.

    \(X =\) the number of freshmen selected from the study until one replied "yes" that same-sex couples should have the right to legal marital status.

    30.

    1,2,…

    32.

    1.4

    35.

    0, 1, 2, 3, 4, …

    37.

    0.0485

    39.

    0.0214

    41.

    \(X =\) the number of U.S. teens who die from motor vehicle injuries per day.

    43.

    0, 1, 2, 3, 4, ...

    45.

    No

    48.

    1. 50.
      1. 53.

        \(X =\) the number of patients calling in claiming to have the flu, who actually have the flu.

        55.

        0.0165

        57.

        1. 59.

          4. 4.43

          4

          63.

          • 65.
            1. 67.
              1. 69.
                1. 71.
                  1. 73.
                    1. Figure \(\PageIndex{4}\)
                    2. 75.
                      1. 77.
                        1. 79.

                          0, 1, 2, and 3

                          1. 82.
                            1. 84.

                              Let \(X =\) the number of defective bulbs in a string.

                              • Using the binomial distribution:
                                • The Poisson approximation is very good—the difference between the probabilities is only \(0.0026\).

                                  86.

                                  1. 88.
                                    1. 90.
                                      1. 92.
                                        1. 94.

                                          4


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