Television viewing reached a new high when the Nielsen Company reported a mean daily viewing time of 8.35 hours per household (USA today, November 11, 2009). Use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household.
a. What is the probability that a household views television between 5 and 10 hours a day?
b. How many hours of television viewing must a household have in order to be in the top 3% of all television viewing households?
c. What is the probability that a household views television more than 3 hours a day?