11. Let X denote the sum of the numbers in two tosses of a fair four-sided die with four equilateral triangle-shaped faces. Each of the dice's faces shows a diferent number from 1 to 4. ( a. Find P(X < 3 or X 2 6) b. Find P(3 < X 56) c. Find E(X). Find V

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If A = {100, 200, 300, 400, 500, 600} and B = {200, 400, 600, 800}, find: %3D AUB O {100, 200, 300, 400, 500, 600, 800} O {200, 400, 600, 800} O {200, 400, 600} O {100, 200, 300, 400, 500, 600} o Empty Set Next Previnus

Your friend makes up a game to play over Zoom during the shelter in place, and asks if you would like to play.  The rules are: You win $8 if you roll a 6. You win $4 if you roll a 4 or 5 Otherwise, you have to pay $10. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. The first value is filled in for you.  Round to 4 decimal places where appropriate.  Probability Distribution Table X P(X) -10           b. Find the expected profit. $ (Round to the nearest cent)c. Interpret the expected value. You will win this much if you play a game. This is the most likely amount of money you will win. If you play many games, on average, you will likely win, or lose if negative, close to this amount.