4. According to a survey of advanced curriculum high school students, the average time spent studying each day is 6.8 hours. Assume the standard deviation is 0.60 hours and that the probability distribution is normal. (a) What is the probability that a randomly selected student studies more than 8 hours per day? (b) What is the probability that a randomly selected student studies 6 hours per day or less? (c) Teachers in these programs suggest studying between 7 and 9 hours every day. What percentage of students study this much? (d) What is the 90th percentile for number of hours spent studying each day? The 25th percentile?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 19E: Suppose a die is rolled 4 times. a. Find the probability distribution for the number of times 1 is...
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4. According to a survey of advanced curriculum high school students, the average time spent studying
each day is 6.8 hours. Assume the standard deviation is 0.60 hours and that the probability distribution
is normal.
(a) What is the probability that a randomly selected student studies more than 8 hours per day?
(b) What is the probability that a randomly selected student studies 6 hours per day or less?
(c) Teachers in these programs suggest studying between 7 and 9 hours every day. What percentage
of students study this much?
(d) What is the 90th percentile for number of hours spent studying each day? The 25th percentile?
Transcribed Image Text:4. According to a survey of advanced curriculum high school students, the average time spent studying each day is 6.8 hours. Assume the standard deviation is 0.60 hours and that the probability distribution is normal. (a) What is the probability that a randomly selected student studies more than 8 hours per day? (b) What is the probability that a randomly selected student studies 6 hours per day or less? (c) Teachers in these programs suggest studying between 7 and 9 hours every day. What percentage of students study this much? (d) What is the 90th percentile for number of hours spent studying each day? The 25th percentile?
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