The length of time sixth graders watch television each day is normally distributed with a mean = 118.3 minutes and standard deviation = 43.1 minutes. Use this information to answer the following:
(a) If 30 sixth graders are selected at random, find the probability that the mean amount of time spent watching television is between 120 and 150 minutes. Use the Central Limit theorem. (b) It is reported that 12% of sixth graders watch the TV show Laguana Beach. You randomly select 200 sixth graders and ask each if he or she watches Laguana Beach. What is the probability that 30 or more say yes? Use the Normal Approximation to the Binomial.