Suppose x is a normally distributed random variable with mu = 11, sigma = 2. Find each of the following:
a) P(10 lessthanorequalto x lessthanorequalto 12)
b) P(6 lessthanorequalto x lessthanorequalto 10)
c) P(13 lessthanorequalto x lessthanorequalto 16)
d) P(x greaterthanorequalto 13.24)
e) P(x greaterthanorequalto 7.62) Suppose the scores x on the ACT are normally distributed with a mean composite score of 21 and a standard deviation of 5. Saltine those applicants whose exceed the 90th percentile of the distributions an applicant must achieve to be considered for admission.