The daily high temperature in Chicago for the month of August is approximately normal with mean of 78 degrees F, and a standard deviation of 9 degrees F.
(a) What is the probability that a randomly selected day in August will have a high temperature greater than the mean daily high temperature of 78 degrees F? (3 decimal places)
(b) What is the percentile for a day in August with a high temperature of 75 degrees F? (whole number)
(c) What is the 75th percentile for the daily high temperature for the month of August? (3 decimal places)
(d) What is the interquartile range for the daily high temperature for the month of August?
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