Problem 12. (1 point) A pool of potential jurors consists of 15 men and 14 women. 10 jurors are to be chosen at random from the pool of 29. What is the probability that this jury is made up Not sure how to perform some of the tasks? Click to see similar problem Part (a) 2 men? (use four decimals) Part (b) half of the jury are men and half are women? (use four decimals) Part (c) at least two women are amongst the 10 jurors? (use four decimals) Part ((1) The jury has been selected and there are 10 men on the jury. Assuming the jury was chosen ran- domly, what is the chance of this occurring? P(10 men) = (use four decimals) Part (e) Consider the jury selection that occurred in part (d) and the probability this happening. Would this particular jury cause you to question the randomness of the jury selection? That is, can the 10 men on the jury lead you to be suspicious about the randomness of the jury selection? 0 A. Yes, because the chance of 10 men being chosen on the jury is likely if the jury selection were random. 0 B. No, because the chance of 10 men being chosen on the jury is not likely if the jury selection were random. 0 C. Yes, because the chance of 10 men being chosen on the jury is not likely if the jury selection were random. 0 D. No, because the chance of 10 men being chosen on the jury is likely if the jury selection were random. Answerfs) submitted: 0 no response I no response O no response I no response I no response submitted: (incorrect) recorded: (incorrect) Problem 13. (1 point) Suppose I give you a list of 21 problems to study, from which I will randomly pick 14 questions for an exam. For whatever reason, you prepare for this exam by completing and understanding how to solve 12 ques- tions of the 21, so there are 9 questions you do not know how to solve. Not sure how to perform some of the tasks? Click to see similar problem Part (3) Compute the probability that you completely solve 7 of the 14 questions appearing on the midterm exam. (use four decimals) Part (b) To pass the midterm, you must correctly solve at least half of the 14 questions. Compute the probability that you will pass the exam. (use four decimals) Answetfs) submitted: 0 110 IBSPODSC C 110 IBSPODSC submitted: (incorrect) recorded: (incorrect) Problem 9. (1 point) Recent crime statistics collected over the past year reveal the following gures: 82% of all people arrested were male, 15% of all people arrested were under the age of 18; 7% of all people arrested were female and under the age of 18. Let M repesent the event that the person arrested is male, and U 18 represent the event that the person arrested is under the age of 18. Part (a) Complete the table below. Use two decimals in each of your answers. M M\" Row Probabilities U 18 _ _ _ U 18': _ _ _ Column Probabilities _ _ _ Part (b) A person who was arrested in the past year is randomly chosen. What is the probability that this person is male or under the age of 18? Enter your answer to two decimals. Part (c) Find the probability that the person chosen in (b) is neither male nor under the age of 18. Use two decimals in your answer. Part (d) What is the probability of all people arrested in the past year are male and at least 18 years of age? Enter your answer as a decimal to two places. Part (e) Are the events M and U18 mutually exclusive events? Select the most appropriate reason below. I A. M and U18 are not mutually exclusive events, because P(M U18) .75 P(M)P(U18). B. M and U 18 are not mutually exclusive events, because P(M H U 18) 75 0. C. M and U18 are mutually exclusive events, because P(M U18) = P(M)P(U18). D. M and U 18 are mutually exclusive events, because P(M U18) = 0. E. M and U 18 are mutually exclusive events, because P(M U U 18) = 0