The length of time needed for a service a motorcycle station is normally distributed with a mean of 6.8 minutes and a standard deviation of 1.2 minutes. What is the probability that a randomly selected motorcycle will require more than 7.2 minutes of service or under 5.6 minutes of service?

The results of a departmental examination were normally distributed with a mean of 90 and a standard deviation of 10. Determine the percent of scores that would be expected to be between 85 and 95.

Monthly food expenditures for families in Caloocan City average 4,500 pesos with a standard deviation of 750 pesos. Assuming that the monthly food expenditures are normally distributed. What percentages of these expenditures are between 3,900 pesos and 5,850 pesos?

The central limit theorem is most useful when drawing samples from normally distributed populations.