1) Suppose you roll two dice. Let A represent the event that the first die is a four, let B represent the event that the total showing on the two dice is six, and let C represent the event that this total is seven. Two of these events are independent. Which two? Explain.
2) X is a normally distributed random variable with mean 10 and variance 24.
a. Find P(X bigger 14)
b. find P(8 smaller X smaller 20)
c. Find the probability that X takes on a value that is at least 6 away from its mean.
d. Suppose that X* is defined such that P(X bigger X*) = .10. What is X*?