Using diaries for many week, a study on the lifestyles of visually impaired students was conducted The student kept track of many lifestyle variable including how many hours of sleep obtained on a typical day Researchers found that visually impaired students averaged 92 hours of sleep with a standard deviation of 245 hours Assume that the number of hours of sleep for these visually impaired students are normally distributed
a) What is the probability that a visually impaired student gets at most 63 hours of sleep?
b) What is the probability that a impaired student gets between 69 and 859 hours of sleep?
c) What is the probability that a visually impaired student gets at least 73 hours of sleep?
d) What is the sleep time that cuts off the top 113% of sleep hours?
e) If 200 visually impaired students were studied, how many students would you expect to have sleep time of more than 859 hours?
f) A school district wants to give additional assistance to visually impaired students with sleep times at the first quartile and lower What would be the maximum sleep time to be recommended for additional assistance?
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