pose you are rolling two 6-sided dice. (The first die is red and the second die is green) Let X = maximum e of the two rolls. So, X(1,2) = 2. X is a discrete random variable. State the definition of...

Extracted text: pose you are rolling two 6-sided dice. (The first die is red and the second die is green) Let X = maximum e of the two rolls. So, X(1,2) = 2. X is a discrete random variable. State the definition of discrete variable and use this definition to explain why X is a discrete random variable. fiscrete random variable is a random variable Cassociating a number ith tach dutcome in g) Who's rande consitht rs a finite Stt 8 countehly infinite this case the (ang is.I • Create a table giving the probability distribution for 'Sinis,6.a finte Comn table setes Х. 2 3 4S6 166).166 .166 .66 166 .8bb Compute the expected value of X. Interpret what this means. (6x.166) =3.486 e kang Let F(x) be the cumulative distribution function for X. Sketch a graph of F(x). fon chn snowled bbe step 2 3 456 Let Y = 100(2 – X) be a random variable for the amount of money you will either pay (if Y is negative) or be paid (if Y is positive) for rolling the dice. What is the expected value of Y? Interpret what this means. Would you play this game?