The Federal Government is stepping up efforts to reduce average response times of fire departments to fire calls. The distribution of mean response times to fire calls follows a normal distribution with a mean of 12.8 minutes and a standard deviation of 3.7 minutes.
a. Find the probability that a randomly selected response time is less than 15 minutes.
b. Find the probability that a randomly selected response time is between 13 minutes and 15 minutes.c. The fastest 20% of fire departments will be singled out for a special safety award. How fast must a fire department be in order to qualify for the special safety award?