The mean time required to take a test is 41.6 minutes with a standard deviation of 8.5 minutes. If the data follows a normal distribution:

A) Find the probability of completing the test in less than 30.1 minutes.

Answer using a decimal rounded to four places

B) Find the 40th percentile of the test times, P40, the time that separates the shortest is 40% of the test times from the rest of the times.

Round your answer to two decimal places

C) If a class of 36 students takes the test, find the probability that the mean of their completion times is higher than 45.1 minutes.

Answer using a decimal rounded to four places