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1) According to Sleep Foundation, average night’s sleep is 6.8 hours. Suppose the standard deviation is 0.6 hours and that probability distribution is normal.
a) Compute the probability that random selected person sleeps more than 8 hours?
b) Compute the probability that random selected person sleeps 6 hours or less?
c) Doctors propose getting between 7 and 9 hours of sleep each night. What percentage of population gets this much sleep?
2) A person should score in upper 2% of population on IQ test to qualify for membership in Mensa, international high-IQ society. If IQ scores are normally distributed with the mean of 100 and standard deviation of 15, what score should a person have to be eligible for Mensa?
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