A study conducted under the auspices of the National Highway Traffic Safety Administration found that the average number of fatal crashes caused by

A study conducted under the auspices of the National Highway Traffic Safety Administration found that the average number of fatal crashes caused by drowsy drivers each year was 1,550 (Business Week, January 26, 2004). Assume the annual number of fatal crashes per year is normally distributed with a standard deviation of 310. a.What is the probability of fewer than 1,000 fatal crashes in a year (to 4 decimals)?