1) The A. C. Nielson Company reports in that the mean weekly Nielson Report on Television television viewing time for children age 2-11 years is 23.02 hours. Assuming the weekly viewing times of such children are normally distributed with a standard deviation of 6.23 hours, how many hours of television per week would a child of this age group watch if they were in the highest 12% of the population?

2) In planning for hot water requirements, the manager of the Luxurion Hotel finds that guests spend a mean time of 11.4 minutes with a standard deviation of 2.6 minutes each day in the shower (based on data from the Opinion Research Corporation). A hotel currently has 84 guests. Find the probability that the mean shower time will be less than 12.0 minutes.