Say that the mean number of hours per day that teenagers around the world listen to music is normally distributed, with a mean of 5 and a standard deviation of 90 minutes.

a. What is the probability that a randomly selected teenager will listen to music for less than 1.5 hours per day? Explain how you found the probability.

b. What is the probability that a randomly selected teenager will listen to between 2.25 and 6 hours of music per day? Show how you found the probability by sketching a normal curve.

c. What is the probability that a randomly selected teenager will listen to between 5 and 8.5 hours of music per day? Explain how you found the probability.

d. Find the score associated with the 75th percentile for the distribution.