The mean serum cholesterol level for U. S. adults was 198, with a standard deviation of 39 (the units are milligrams per deciliter.) A simple random sample or 106 adults is chosen. Use the TI-84 calculator round the answers to 4 decimal places.

a) what is the probability that the same mean cholesterol level is greater than 204?

b) what is the probability that the sample mean cholesterol level is betw 190 and 197?

c) would it be unusual for the sample mean to be less than 193? - it ______ be unusual for the sample mean to be less than 193, since the probability is ___.