Question: Biology and Environmental Science During monsoon season in India, the mean amount of rainfall is 89 centimeters.12 Suppose the standard deviation is 5 centimeters and 30 monsoon seasons are selected at random.
a. What is the probability that the sample mean rainfall is less than 87 centimeters?
b. What is the probability that the sample mean rainfall is greater than 91.5 centimeters?
c. Find a symmetric interval about the mean, 89, such that the probability that the sample mean lies in this interval is 0.90.