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In a knockout tennis tournament of 2n contestants, the players are paired and play a match. The losers depart, the remaining 2n-1 players are paired, and they play a match. This continues for n rounds, after which a single player remains unbeaten and is declared the winner. Suppose that the contestants are numbered 1 through 2n, and that whenever two players contest a match, the lower numbered one wins with probability p. Also suppose that the pairings of the remaining players are always done at random so that all possible pairings for that round are equally likely.
(a) What is the probability that player 1 wins the tournament?
(b) What is the probability that player 2 wins the tournament?
Random sample from population of male runners in town or city. Create and interpret the 95% confidence interval for mean, mean of the population from which sample is drawn.
24% of the students in the sample received and A. At the 1% signifiance level, the test hypothesis that more then 20% of the students received and A.
In a Gallup poll of 1,038 adults, 540 said that second-hand smoke is very harmful. What is the percentage of adults who said second-hand smoke is very harmful.
The probabilities that an automobile salesperson will sell 0, 1, 2, or 3 cars on any given day in February are, respectively, 0.19, 0.38, 0.29, and 0.15.
Please note that for all problems in this course, the standard cut-off for a test of significance will be p
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