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9)For our fair, 10-sided die in the previous problem, if you roll this die TWICE, then...

9)For our fair, 10-sided die in the previous problem, if you roll this die TWICE, then the rolls areINDEPENDENT.9)A)FALSEB)TRUE10)For our fair, 10-sided die in the previous problem, if you roll this die TWICE, calculate theprobability that you roll a PRIME NUMBER twice.10)A)0.40B)0.04C)0.09D)0.16Problems 11-15 refer to the following "Corporate Managers" problem.Find the indicated probabilities. Give your answer asa simplified fraction.11)The managers of a corporation were surveyed to determine the background that leads to asuccessful manager. Each manager was rated as being either a good, fair, or poor manager byhis/her boss. The manager's educational background was also noted. The data appear below.Given that a manager is only a fair manager, what is the probability that this manager has nocollege background?Educational BackgroundManagerRating H. S. Degree Some College College Degree Master's or Ph.D.TotalsGood8322639Fair711442587Poor2412734Totals1718675816011)A)787B)97160C)717D)716012)From the corporate managers problem above, what is the probability that a randomly selectedmanager is fair AND has an advanced college degree (Master's or Ph.D.)?12)A) 4/19B) 51/80C)1/40D)/3213)From the corporate managers problem above, what is the probability that a randomly selectedmanager is poor OR has an advanced college degree (Master's or Ph.D.)?13)A) 27/160B) 13/32C) 4/19D)1/4014)From the corporate managers problem above, what is the probability that a randomly selectedmanager who was poor has an advanced college degree (Master's or Ph.D.)?14)A)1/40B) 27/34C) 27/160D) 4/1915)From the corporate managers problem above, which events are mutually exclusive?15)A)Good, Some CollegeB)Poor , College DegreeC)Fair, HS DegreeD)Good, PoorProvide an appropriate response.16)We always find the probability of a(n) _______________ .16)A)eventB)Bernoulli spaceC)complementD)sample space2

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