## 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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2021-11-20T10:59:32+00:00
2021-11-20T10:59:32+00:00 1 Answer
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## Answers ( )

Answer:0.748

Step-by-step explanation:We have to find the standard deviation of the number of homes sold=S.D(x)

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.