A recent study reported that Americans spend an average of 270 minutes per day watching TV. Assume the distribution of minutes per day watching TV follows a normal distribution with a standard deviation of 23 minutes.

a. What percent of the population watch more than 300 minutes per day?

b. What percent of the population watch more than 220 minutes per day?

c. What percent of the population watch between 220 hours and 300 hours?

d. Let’s define a “binge watcher” as someone in the upper 15% of the distribution of minutes watching TV. How many minutes does a “binge watcher” spend per day watching TV?