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    Find mean and standard deviation from probability distribution

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    Dogs Households
    0 1327
    1 402
    2 162
    3 47
    4 28
    5 11

    (a)
    Use a frequency distribution to construct a probability distribution
    x P(x)
    0
    1
    2
    3
    4
    5

    Round to the nearest Thousandth as needed
    Dogs 0 1 2 3 4 5
    Households 1327 402 162 47 28 11

    (b) Find the mean of the probability distribution
    U = (Round to nearest tenth as needed)

    c. Find the variance of the probability distribution.
    Variance = (Round to nearest tenth as needed)

    d. Find the standard deviation of probability distribution.
    Standard deviation = (Round to nearest tenth as needed)

    e. Interpret the results of the context of the real-life situation
    (Choose One)

    (a) A household on average has 0.8 dog with a standard deviation of 0.9 dog
    (b) A household on average has 0.5 dog with a standard deviation of 0.9 dog
    (c) A household on average has 0.5 dog with a standard deviation of 11 dog
    (d) A household on average has 0.9 dog with a standard deviation of 0.5 dog

    © BrainMass Inc. brainmass.com June 4, 2020, 2:51 am ad1c9bdddf
    https://brainmass.com/statistics/probability/mean-standard-deviation-probability-distribution-484528

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    Dogs Households
    0 1327
    1 402
    2 162
    3 47
    4 28
    5 11

    (a)
    Use a frequency distribution to construct a probability distribution
    1327+402+162+47+28+11=1977
    x P(x)
    0 1327/1977=0.671
    1 402/1977=0.203
    2 162/1977=0.082
    3 47/1977=0.024
    4 28/1977=0.014
    5 11/1977=0.006

    Round to the nearest Thousandth as ...

    Solution Summary

    The solution provides detailed explanation how to find out mean and standard deviation from probability distribution.

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