Q1) Die with 4 sides {1, 2, 3, 4} is tossed 2 times. Let X equal maximum of two observations and let Y equal minimum. Determine joint pmf of X and Y, and correlation coefficient. Are X and Y independent?
Create three tables: Sample Space for two tosses, table for values of X and Y for each outcome, finally table for pmf.
Q2) National average SAT score is 1025. Nothing is known about distribution of distribution except that standard deviation is 100. If sample of 50 students is randomly chosen, determine the probability that their average SAT score would exceed 1060?