Suppose that you collected data on GPA and the number of studying hours(H) for 100 students at UCR. The data is summarized as follows: 20 students study 6 hours a day and have a GPA of 2.0, 30 students study 6 hours a day and have a GPA of 4.0, 10 students study 10 hours a day and have a GPA of 2.0, and 40 students study 10 hours a day and have a GPA of 4.0. Required:
a. Find the join and marginal probabilities?
b. Find the probability of hours= 6 given that the GPA=2.0?
c. Find the probability of GPA-4 given hours = 10?
d. Find the mean or expected value of hours (E(H))?? Find the variance of hours (V(H))?