In: Statistics and Probability
Consider the game of craps designed by Econ 261 Hotel students. The game consists of rolling two fair six-sided dice. You win a dollar if the sum of the dots on the two dice is 2, 3, 4, or 5; if the sum of the dots on the two dice is 9, 10, 11, or 12 you lose a dollar. You win nothing, (that is you get $0) if the sum is 6, 7, or 8. The variance of X, Var(X) is:
Here we have x is the random variable
X: No of dollers you will win
Corresponding probabilities are given from the sum of dots on the dies
Remaining detail answer given in the following images