Aconsensus forecastis the average of a large number of individual analysts' forecasts. Suppose the individual forecasts for a particular interest rate are normally distributed with a mean of 5.0 percent and a standard deviation of 1.2 percent. A single analyst is randomly selected. Find the probability that his/her forecast is

(a)At least 3.5 percent.(Round the z value to 2 decimal places. Round your answer to 4 decimal places.)

(b)At most 6 percent.(Round the z value to 2 decimal places. Round your answer to 4 decimal places.)

(c)Between 3.5 percent and 6 percent.(Round the z value to 2 decimal places. Round your answer to 4 decimal places.)