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Sir i am stuck for this question only a and b Sue's tennis club chooses a team of 5 people out of their 15 members

Sir i am stuck for this question

only a and b

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Sue's tennis club chooses a team of 5 people out of their 15 members to go to a tournament. The tournament will apply the knock-out rule: if someone loses a match they are out of the tournament, otherwise they continue to the next round. In total the tournament consists of 7 rounds (rounds 1 to 4, the quarter final, the semi-final and the final, respectively). a. How many different teams can Sue's tennis club select? [2 marks] b. Assume all teams are equally likely. Derive the probability that the team includes Sue but excludes Alex (who is also a member of the club). [4 marks] c. Sue is going to the tournament. You can assume that the probability that she wins a randomly selected match in the tournament is 0.9 and that the outcomes of her matches are independent. Does the Geometric distribution describe her probability of winning the tournament? Why? [3 marks] d. Sue cannot meet the tournament's favourite before the final. She has played against the favourite before and knows that the favourite will beat her with probability 0.6. The favourite's chances of reaching the final are 0.7. The probability that Sue will win the final (once she has reached it) is 0.6 against any other opponent. Derive the probability that Sue will win the tournament. [6 marks]

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