240 homes in the county are between $175,000 and $225,000.
The image attached is associated with this question and m in it refers to the mean value which is $225000 here and d refers to the standard deviation which is $25000 here.
Now since m= $225000
and $175000= $225000-$50000= $225000-(2* $25000)= m-2d
Thus, as per the image area covered between m and m-2d= $225000
and $175000 is (34%+14%)of 500 homes= 68% of 500= 240 homes, is the answer.
A random variable X is said to follow a normal distribution if its parameters are mean and standard deviation. Every other distribution can be reduced to a normal distribution.
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