4mg 'i 0 Question 1 v E 0/1 p Complete the following probability distribution table: Probabilit Distribution Table Question Help: [2] Written Example 8 Message instructor Submit Question Jump to Answer myopenmath.com Question 2 0/5 pts ' 20 99 0 Details Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $10. If you roll a 3, 4 or 5, you win $2. Otherwise, you pay $10. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) b. Find the expected profit. $ (Round to the nearest cent) c. Interpret the expected value. If you play many games, on average, you will likely win, or lose if negative, close to this amount. This is the most likely amount of money you will win. You will win this much if you play a game. d. Based on the expected value, should you play this game? Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so you might as well have fun at no cost. No, this is a gambling game and it is always a bad idea to gamble. Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games. No, since the expected value is negative, you would be very likely to come home with less money if you played many games. Yes, because you can win $10.00 which is greater than the $10.00 that you can lose. myopenmath.com Question 3 0/2 pts ' 20 2 99 0 Details The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $10 each and will sell 900 tickets. There is one $1,000 grand prize, three $200 second prizes, and twelve $20 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent. S Question Help: Written Example Message instructor Submit Question Jump to Answeri myopenmathlcom 25% of all college students major in STEM (Science, Technology, Engineering, and Math). If 40 college students are randomly selected, find the probability that exactly 11 of them major in STEM. Round to 4 decimal places. Question Help: [3 Written Example 8 Message instructor Jumpmnswer i myopenmathlcom 2' 0 Question 8 v i ' 20/4 p15 '0 20 3 99 G Details 79% of all students at a college still need to take another math class. If 5 students are randomly selected, find the probability that a. Exactly 2 of them need to take another math class. [:] b. At most 2 of them need to take another math class. c. At least 4 of them need to take another math class. [:] d. Between 2 and 4 (including 2 and 4) of them need to take another math class. C] Round all answers to 4 decimal places. Question Help: @ Written Example 8 Message instructor ltowe l igl