7. The mean weekly earnings for employees in general automotiverepair shops is $450 and the standard deviation is $50. A sample of100 automotive repair employees is selected at random.
a. Find the probability that the mean earnings is less than$445.
b. Find the probability that the mean earning is between $445and $455.
c.Find the probability that the mean earnings is greater than$460.
8. A drug manufacturer states that only 5% of the patients usinga high blood pressure drug will experience side effects. Doctors ata large university hospital use the drug in treating 200patients.
a.What is the probability that 15 or fewer patients will experiencea side effect?
b. What is the probability that between 7 and 12 patients willexperience a side effect?