Question: telephone operators are assigned to handle all 411 calls. The mean time to respond to a caller is 30 seconds with a standard deviation of 5 seconds (Hint: draw a picture of the normal distribution curve for each problem). Use 4 decimal places of accuracy.

a) What is the probability that your call will be handled in less than 27 seconds?

b) What proportion of calls are responded to in 23 to 27 seconds?

c) What proportion of calls are responded to in 27 to 33.3 seconds?

d) Fifteen percent of calls are responded to in how many seconds or less?