Adults have blood pressure that is approximately normally distributed with a mean of 112 mmHg and a standard deviation of 12 mmHg.

1. What is the probability of an adult having blood pressure greater than 150 mmHg? Show all work.
2. What is the probability of an adult having blood pressure less than 120 mmHg, but greater than 108 mmHg? Show all work.
3. What fraction of adults is more than 1.5 standard deviations from the mean in either direction? Show all work.
4. What fraction of adults is more than 1.5 mmHg from the mean in either direction? Show all work.
5. If you took a random sample of 15 adults, what is the probability that their mean blood pressure would be less than 135 mmHg? Show all work.
6. For your answer to Q5.5, do you think taking a sample of 15 adults is going to give you a good estimate of the population? Why or why not? Be concise.