At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 32 minutes and a standard deviation of 2 minutes. Using the empirical rule, what percentage of customers have to wait between 26 minutes and 38 minutes?
Using the empirical rule:
- Approximately 68% of customers will have to wait between (32 - 2) = 30 minutes and (32 + 2) = 34 minutes.
- Approximately 95% of customers will have to wait between (32 - 4) = 28 minutes and (32 + 4) = 36 minutes.
- Approximately 99.7% of customers will have to wait between (32 - 6) = 26 minutes and (32 + 6) = 38 minutes.
Therefore, approximately 99.7% of customers will have to wait between 26 minutes and 38 minutes.