EMPIRICAL (0BSERVED) PROBABILITY: 6. Probability Experiment: Roll two 6-sided dice, or simulate the roll of two dice using a computer or calculator. Variable, X sum of the sides face up. Repeat the experiment at least 50 rolls of the two dice. Write probabilities P(x) rounded to 4 decimal places. Observed

Q2: A random variable X has a mean = 8, a variance o² = 9, and an unknown probability distribution. Find P(X-826).

Game of chance: A player rolls a fair six-sided die. If outcome of a roll is an odd number, the player  wins as many  dollars as there are dots on the top face  . Otherwise, the player looses 4 dollars. Let the random variable X be profit (amount won or lost) per game. Make a probability distribution table for the random variable: amount won or lost.  Find the Expected value of the experiment Use Law of Large numbers to interpret the meaning of the Expected value If a person plays 100 times, how much he expects to win/loose?