The number of customers at your company's store on a given day has a bell-shaped normal distribution with a mean of 60 and a standard deviation of 10. What percentage of days do you expect to have between 50 and 70 customers? Give your answer as a percent, but do not incude the % sign.

68

Step-by-step explanation:

The Empirical 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:

Mean = 60

Standard deviation = 10

What percentage of days do you expect to have between 50 and 70 customers?

50 = 60 - 10

So 50 is one standard deviations below the mean.

70 = 60 + 10

So 70 is one standard deviation above the mean.

By the Empirical Rule, 68% of days do you expect to have between 50 and 70 customers. So the answer is 68

180

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