Using diaries for many weeks, a study on the lifestyles of visually impaired students was conducted. The students kept track of many lifestyle variables including how many hours of sleep obtained on a typical day. Researchers found that visually impaired students averaged 8.46 hours of sleep, with a standard deviation of 2.44 hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed.
a) What is the probability that a visually impaired student gets less than 6.9 hours of sleep?
b) What is the probability that a visually impaired student gets between 6.7 and 10.65 hours of sleep?
c) Thirty percent of students get less than how many hours of sleep on a typical day?