1.. Say that we look up statistics for ocean health and map the outcomes to the random variable X with the following frequencies: Health Outcomes Low Medium High X-1 1 2 p(x) 1/7 2/7 4/7

a. Is this a discrete or continuous random variable? b. What is the expected value of X?

2. Say you have a big project due next month. There is a 20% chance that you will start early on it. If you do, then there is a 90% chance that you'll sleep well the night before it's due. If you don't, there is a 30% chance that you'll sleep well the night before it's due. Given that you sleep well the night before the project is due, what is the probability that you started early on it?