The number of homes sold by a realtor during a month has the following probability distribution: Number Sold Probability 0 0.20 1 0.40 2 0.4

Question

The number of homes sold by a realtor during a month has the following probability distribution: Number Sold Probability 0 0.20 1 0.40 2 0.40 What is the standard deviation of the number of homes sold by the realtor during a month?

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Maria 2 weeks 2021-11-20T10:59:32+00:00 1 Answer 0 views 0

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  1. Ava
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    2021-11-20T11:00:42+00:00

    Answer:

    0.748

    Step-by-step explanation:

    We have to find the standard deviation of the number of homes sold=S.D(x)

    S.D(x)=\sqrt{sum[x^{2}*p(x)]-[sum(x*p(x))]^2 }

    Number sold x    Probability p(x)   x*p(x)      x²       x²*p(x)

    0                            0.2                       0          0           0

    1                             0.4                       0.4        1            0.4

    2                            0.4                       0.8        4           1.6

    sum[x²*p(x)]=0+0.4+1.6=2

    sum(x*p(x))=0+0.4+0.8=1.2

    S.D(x)=√2-(1.2)²

    S.D(x)=√2-1.44

    S.D(x)=√0.56

    S.D(x)=0.748.

    Thus, the standard deviation of the number of homes sold by the realtor during a month is 0.748.

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