Durations of clinical research studies awarded by a particular federal agency are assumed to follow a normal distribution, with a mean of 24 months and a standard deviation of 2.5 months.
a. Find the probability that a study is awarded with a duration of more than 24 months.
b. Find the probability that a study is awarded with a duration of between 15 and 25 months.
c. Fill in the following statement, 90% of studies awarded have durations betwen ------------ and ---------- months.(consider the middle 90% of the distribution.)