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Sagot :
Answer:
The standard deviation for the probability distribution is of 2.63 houses sold.
Step-by-step explanation:
To find the standard deviation for the distribution, first we have to find the mean.
Mean:
Each outcome multiplied by it's probability. So
[tex]E(X) = 0.24*0 + 0.01*1 + 0.13*2 + 0.16*3 + 0.01*4 + 0.14*5 + 0.11*6 + 0.21*7 = 3.62[/tex]
Standard deviation:
Square root of the sum of the differences squared between each value and the mean, multiplied by its probabilities. So
[tex]\sqrt{V(X)} = \sqrt{0.24(0-3.62)^2 + 0.01(1-3.62)^2 + 0.13(2-3.62)^2 + 0.16(3-3.62)^2 + ...} = 2.63[/tex]
The standard deviation for the probability distribution is of 2.63 houses sold.
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