In: Statistics and Probability
Let the random variable X follow a normal distribution with ?= 60 and sigma ?2= 81.
a. Find the probability that X is greater than 70.
b. Find the probability that X is greater than 45 and less than 71.
c. Find the probability that X is less than 65.
d. The probability is 0.2 that X is greater than what? number?
e. The probability is 0.03 that X is in the symmetric interval about the mean between which two? numbers?