Suppose that homicide rates in the U.S. are normally distributed with mean 7.11 per 100,000, with a variance of 4.14. Use these as your population values, and answer the following questions.

1. At its peak in the 1990s, the U.S. homicide rate reached 10.2 per 100,000. How many standard deviation units lie between the mean and this value?
2. What is the probability that the homicide rate would be greater than 10.2?
3. Which homicide rates lie in the lowest 20% of the distribution?