binomial distbns

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Unformatted text preview: © 2010 Radha Bose FSU Department of Statistics Practice Problems for Binomial Distributions — 1 1. Which ONE of the following answer choices best describes each setting below? (A) It is a binomial setting. (B) It is not a binomial setting because the trials are not independent. (C) It is not a binomial setting because the number of trials is not fixed. (D) It is not a binomial setting because the probabilities change from trial to trial. (E) It is not a binomial setting because there are more than two possible outcomes. (i) A company keeps a daily record of whether it meets its target profit or not. Assume that daily profits are independently accrued and the chances of meeting the target profit are the same every day. (ii) We roll one die and record if we get 6 or not. Then we roll two dice and record if the total is 6 or not. Then we roll three dice and record if the total is 6 or not. Then we stop. 2. Let us suppose that 17% of all hospital admissions are for gun-related injuries. X = the number of gun- related admissions in 29 randomly selected hospital admissions is a Binomial random variable. (i) Write down the distribution of X. (ii) Which ONE of the following is the sample space of X? (A) S = {0, 1, 2, …, 28} (B) S = {1, 2, …, 29} (C) S = {1, 2, …, 28} (D) S = {0, 1, …, 29} (iii) What is the probability that exactly 8 are gun-related among 29 randomly selected hospital admissions?...
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