Use the 68-95-99.7 rule to find the percentage the percentage of buyers who payed between 150,000 and 153,200, if the standard deviation is 1,600.

68% of buyers paid between 150,000 and 153,200

Step-by-step explanation:

The Empirical Rule (68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Standard deviation = 1,600

I suppose there was a typing mistake and the mean was not given, but a mean of 150,000 + 1,600 = 151,600 would make sense.

Percentage of buyers who payed between 150,000 and 153,200

150,000 = 151,600 - 1,600

So 150,000 is one standard deviation below the mean

153,200 = 151,600 + 1,600

So 153,200 is one standard deviation above the mean.

By teh Empirical Rule, 68% of buyers paid between 150,000 and 153,200