0 Question 9 [Z 0.33/1 pt '0 3 2:3 98 (D Details Robert bought a $5 lottery ticket such that 1 in 100 would win 510, 1 in 1000 would win $100, and 1 in 50 million would win 1 million. What is the expected value of a lottery ticket in dollars? Does Robert expect to earn a profit if he buys 100 tickets? Select an answer v By how much? Submit Question 0 Question 5 8 0.1711 pt '0 3 2:3 98 CD Details Suppose you model a game of chance with a discrete probability distribution. Let X be the net amount of money won or lost by the player. Let P(X) be the probability of the corresponding outcome. The three events are as follows: There is a 23% chance the player wins 5 dollars. There is a 26% chance the player breaks even. There is a 51% chance the player loses 5 dollars. Complete the table below to model the scenario Submit Question Question 43 Corpt 03 99 0 Details Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $19. If you roll a 2, 3, 4 or 5, you win $5. Otherwise, you pay $9. 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 b. Find the expected profit. S (Round to the nearest cent) c. Interpret the expected value. If you play many games you will likely win on average very close to $5.00 per game. You will win this much if you play a game. This is the most likely amount of money you will win. d. Based on the expected value, should you play this game? Yes, because you can win $19.00 which is greater than the $9.00 that you can lose. ONo, since the expected value is negative, you would be very likely to come home with less money if you played many games O'Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games. 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. Submit Question Jump to Answer Question 44 Corpt 03 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 $3,000 grand prize, two $300 second prizes, and sixteen $10 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent. Submit Question Jump to Answer Question 45 Corpt 03 99 0 Details 59% of all violent felons in the prison system are repeat offenders. If 45 violent felons are randomly selected, find the probability that a. Exactly 24 of them are repeat offenders. b. At most 27 of them are repeat offenders. C. At least 28 of them are repeat offenders. d. Between 22 and 27 (including 22 and 27) of them are repeat offenders. Submit Question Jump to Answer Question 45 Corpt 03 99 0 Details If X - U(3,7), then P(X - 4) = P(X - 9) O true Ofalse Submit Question Jump to Answer Question 47 20/1 pt 03 99 0 Details The time that it takes for the next train to come follows a Uniform distribution with fix) -1/30 where x goes between 1 and 31 minutes. Round answers to 4 decimal places when possible. a. This is a |Select an answer distribution. b. It is a Balect an answer distribution. :. The mean of this distribution is d. The standard deviation is e. Find the probability that the time will be at most 14 minutes. f. Find the probability that the time will be between 12 and 19 minutes. g- Find the 43rd percentile. h. Find the probability that the time is more than 19 minutes given for knowing that) it is at least B minutes. Submit Question Jump to Answer Question 48 20/1 pt 03 99 0 Details A larger sample size will result in a smaller sample standard deviation for the sample. True False Submit Question Jump to AnswerQuestion 49 Corpt 03 99 0 Details The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 4 ounces. B randomly selected people are surveyed. Round all answers to 4 decimal places where possible. 2. What is the distribution of X? X - No b. What is the distribution of #1 3 - N c. what is the probability that one randomly selected person drinks between 15.5 and 17.3 ounces of coffee per day? d. For the & people, find the probability that the average coffee consumption is between 15.5 and 17." ounces of coffee per day c. For part d), is the assumption that the distribution is normal necessary? ( No( Ves f. Find the IQR for the average of $ coffee drinkers. Q1 ounces 03 ounces IOR: ounces Submit Question Jump to Answer question 50 Corpt 03 99 0 Details A computer selects a number X" from 3 to 11 randomly and uniformly. Round all answers to 4 decimal places where possible. 2. What is the distribution of X1 X - up b. Suppose that the computer randomly picks 36 such numbers. What is the distribution of a for this selection of numbers. = - No c. What is the probability that the average of 36 numbers will be less than 6.?? Submit Question Jump to