A tetrahedron shaped die gives one of the numbers 1, 2, 3, 4 with equal probabilities. We roll two of these dice and denote the two outcomes by X1 and X2. Let Y1 " minpX1, X2q and Y2 " |X1 ´ X2|. (a) Find the joint probability mass function of X1 and X2. (b) Find the joint probability mass function of Y1 and Y2. (c) Compute ErY1Y2s.

22 points algebra 1//sum and product of rational and irrational numbers. dont have to do all 4 if could much : )) write an example: 1) how the product of two identical irrational numbers can be a rational number. 2) how the product of two different irrational numbers can be a rational number. 3) write a quotient of intergers that is not a real number. 4) is the set of positive irrational numbers closed for the operation of division? if not give a counter example.