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i myopenmathcom u i iii 0 Question1 v ' 30.11/1 pt 040 398 Details Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $20. If you roll a 3, 4 or 5, you win $5. Otherwise, you pay $7. 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) DC] [:JC] DD b. Find the expected profit. $[:] (Round to the nearest cent) c. Interpret the expected value. 'TgYou will win this much if you play a game. 'TThis is the most likely amount of money you will win. '7 If you play many games, on average, you will likely win, or lose if negative, close to this amount. d. Based on the expected value, should you play this game? 7 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. 5; No, since the expected value is negative, you would be very likely to come home with less money if you played many games. CYes, because you can win $20.00 which is greater than the $7.00 that you can lose. Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games. 7) No, this is a gambling game and it is always a bad idea to gamble. i myopenmathcom 2' .Questionz v' 26% of all college students major in STEM (Science, Technology, Engineering, and Math). If 46 college students are randomly selected, find the probability that exactly 12 of them major in STEM. [3 Round to 4 decimal places. Question Help: @ Written Example Submit Question \\ Jump to Answer \\ [3 0/1 pt '0 4o 3 99 (D Details Lui- m an .... a 77 '_, O Question4 v ' l a 0/1 pt 0 4o 3 99 6) Details 34% of all college students major in STEM (Science, Technology, Engineering, and Math). If 49 college students are randomly selected, find the probability that a. Exactly 14 of them major in STEM. [j b. At most 19 of them major in STEM. [:] c. At least 15 of them major in STEM. C] d. Between 13 and 20 (including 13 and 20) of them major in STEM. [3 Round all answers to 4 decimal places. Question Help: El Video Q Written Example Submit Question [ Jump to Answer g El . x Question 5 v i l 30/1 pt '0 38 3 99 (D Details Score on last try: 0 of 1 pts. See Details for more. l > Next question l 3 Get a similar question l You can retry this question below About 9% of the population has a particular genetic mutation. 1000 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 1000. (Round to 2 decimal places if possible.) :] Question Help: [3 Written Example Submit Question l Jump to Answer l lmm ah I-I-Iwww-I-n 7 _ W 0 Question 7 v J ' The time to complete an exam is approximately Normal with a mean of 55 minutes and a standard deviation of 9 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes. \"-30 u-Zo u-cr I1 n+0 u+2cr \"+30 Question Help: [3 Written Example Submit Question \\ Jump to Answer \\ a 0/1 pt '0 4o 3 99 G Details @1- i myopenmathicom 2' .Question8 v' ( \" ) The mean amount of time it takes a kidney stone to pass is 15 days and the standard deviation is 6 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. a. What is the distribution of X? X ~ N(:],:J) b. Find the probability that a randomly selected person with a kidney stone will take longer than 17 days to pass it. Round to 4 decimal places. [3 Question Help: [a Written Example 3 0/1 pt .0 4o 3 99 (9 Details Lui- imyopenmathlcom , i Til ' '5] I 0 Question 15 v i 30/1 pt 040 399 @Details The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 126 residents whose mean number of pounds of trash generated per person per week was 37.8 pounds and the standard deviation was 8.7 pounds. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a ? a distribution. b. With 95% confidence the population mean number of pounds per person per week is between [:1 and C] pounds. c. If many groups of 126 randomly selected members are studied, then a different confidence interval would be produced from each group. About [3 percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about C] percent will not contain the true population mean number of pounds of trash generated per person per week. Question Help: [Q Written Example lweJumvto