The mean annual automobile insurance premium is $950, with a standard deviation of $175. The data set has a bell-shaped distribution. Estima

Question

The mean annual automobile insurance premium is $950, with a standard deviation of $175. The data set has a bell-shaped distribution. Estimate the percent of premiums that are between $600 and $1300.

in progress 0
Hailey 3 weeks 2021-11-14T00:37:25+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-11-14T00:39:09+00:00

    Answer:

    95% of premiums that are between $600 and $1300.

    Step-by-step explanation:

    The Empirical Rule states that, for a normally distributed random variable:

    68% of the measures are within 1 standard deviation of the mean.

    95% of the measures are within 2 standard deviation of the mean.

    99.7% of the measures are within 3 standard deviations of the mean.

    In this problem, we have that:

    Mean = 950

    Standard deviation = 175

    Estimate the percent of premiums that are between $600 and $1300.

    600 = 950 – 2*175

    So 600 is two standard deviations below the mean.

    1300 = 950 + 2*175

    So 1300 is two standard deviations above the mean

    By the Empirical Rule, 95% of premiums that are between $600 and $1300.

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )