In: Math
1. The daily temperature in August in a region is normally distributed with a mean of 86 degrees F and a standard deviation of 4 degrees F. What is the probability (4 significant figures) that a daily temperature would be 72 degrees F or less? Would this be considered unusual, or not unusual?
2. The daily temperature in August in a region is normally distributed with a mean of 86 degrees F and a standard deviation of 4 degrees F. What is the probability that a daily temperature would be between 90 and 100 degrees F? Would such temperatures be considered unusual, or not unusual?
3. The daily temperature in August in a region is normally distributed with a mean of 86 degrees F and a standard deviation of 4 degrees F. What is the 90th percentile for all such daily temperatures? Round to the nearest hundredth of a degree; don't forget units of measure
4. The daily temperature in August in a region is normally distributed with a mean of 86 degrees F and a standard deviation of 4 degrees F. What is the centered, symmetric interval containing 80% of all such temperatures? (round to the nearest hundredth of a degree); don't forget units of measure