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 8.79 hours of sleep, with a standard deviation of 1.12 hours

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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 8.79 hours of sleep, with a standard deviation of 1.12 hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed. Give your answers to 4 decimal places. Use at least 3 decimal places for your z-scores.

(A) What is the probability that a visually impaired student gets less than 6.76.7 hours of sleep?

(B) What is the probability that a visually impaired student gets between 7 and 10.74 hours of sleep?

(C) Fourty percent of students get less than how many hours of sleep on a typical day?

Expert Solution
Step 1
Given that.
 
X~N( μ , ?^2 )
 
μ=8.79     , ?=1.12
 
Z-score =( x - μ )/?
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