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For each of the examples below, decide if X is a binomial random variable. If so, specify n and p. If not, explain why not. 1 2 (a) X = number of heads from flipping the same coin seventeen times, where the probability of a head (b) X ооооо ооо | O O O O O Yes, n = 2 and p = 0.5. Yes, n = 17 and p = 0.5. No, p is not the same from trial to trial. No, the "trials" are independent of each other. No, the "trials" are not independent of each other. 1 and the probability of a head for the other coin 2 number of heads from flipping two coins nine times each, where the probability of a head for one coin = Yes, n = 9 and p = 0.125. Yes, n = 2 and p = 0.125. No, the "trials" are independent of each other. No, p is not the same from trial to trial. No, the "trials" are not independent of each other. (c) X = number of cities in which it will rain tomorrow among five neighboring cities located within 15 miles of each other. Yes, n = 15 and p = 0.5. Yes, n = 5 and p = 0.5. No, p is not the same from trial to trial. No, the "trials" are independent of each other. No, the "trials" are not independent of each other. = (d) X = number of children who will get the flu this winter in a kindergarten class with 25 children. Yes, n = 10 and p = 0.5. Yes, n = 25 and p = 0.5. No, the "trials" are independent of each other. No, the "trials" are not independent of each other. No, p is not the same from trial to trial. пооооо 1 4

For each of the examples below, decide if X is a binomial random variable. If so, specify n and p. If not, explain why not. 1 2 (a) X = number of heads from flipping the same coin seventeen times, where the probability of a head (b) X ооооо ооо | O O O O O Yes, n = 2 and p = 0.5. Yes, n = 17 and p = 0.5. No, p is not the same from trial to trial. No, the "trials" are independent of each other. No, the "trials" are not independent of each other. 1 and the probability of a head for the other coin 2 number of heads from flipping two coins nine times each, where the probability of a head for one coin = Yes, n = 9 and p = 0.125. Yes, n = 2 and p = 0.125. No, the "trials" are independent of each other. No, p is not the same from trial to trial. No, the "trials" are not independent of each other. (c) X = number of cities in which it will rain tomorrow among five neighboring cities located within 15 miles of each other. Yes, n = 15 and p = 0.5. Yes, n = 5 and p = 0.5. No, p is not the same from trial to trial. No, the "trials" are independent of each other. No, the "trials" are not independent of each other. = (d) X = number of children who will get the flu this winter in a kindergarten class with 25 children. Yes, n = 10 and p = 0.5. Yes, n = 25 and p = 0.5. No, the "trials" are independent of each other. No, the "trials" are not independent of each other. No, p is not the same from trial to trial. пооооо 1 4

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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For each of the examples below, decide if X is a binomial random variable. If so, specify n and p. If not, explain why not. 1 2 (a) X = number of heads from flipping the same coin seventeen times, where the probability of a head (b) X ооооо ооо | O O O O O Yes, n = 2 and p = 0.5. Yes, n = 17 and p = 0.5. No, p is not the same from trial to trial. No, the "trials" are independent of each other. No, the "trials" are not independent of each other. 1 and the probability of a head for the other coin 2 number of heads from flipping two coins nine times each, where the probability of a head for one coin = Yes, n = 9 and p = 0.125. Yes, n = 2 and p = 0.125. No, the "trials" are independent of each other. No, p is not the same from trial to trial. No, the "trials" are not independent of each other. (c) X = number of cities in which it will rain tomorrow among five neighboring cities located within 15 miles of each other. Yes, n = 15 and p = 0.5. Yes, n = 5 and p = 0.5. No, p is not the same from trial to trial. No, the "trials" are independent of each other. No, the "trials" are not independent of each other. = (d) X = number of children who will get the flu this winter in a kindergarten class with 25 children. Yes, n = 10 and p = 0.5. Yes, n = 25 and p = 0.5. No, the "trials" are independent of each other. No, the "trials" are not independent of each other. No, p is not the same from trial to trial. пооооо 1 4
Transcribed Image Text:For each of the examples below, decide if X is a binomial random variable. If so, specify n and p. If not, explain why not. 1 2 (a) X = number of heads from flipping the same coin seventeen times, where the probability of a head (b) X ооооо ооо | O O O O O Yes, n = 2 and p = 0.5. Yes, n = 17 and p = 0.5. No, p is not the same from trial to trial. No, the "trials" are independent of each other. No, the "trials" are not independent of each other. 1 and the probability of a head for the other coin 2 number of heads from flipping two coins nine times each, where the probability of a head for one coin = Yes, n = 9 and p = 0.125. Yes, n = 2 and p = 0.125. No, the "trials" are independent of each other. No, p is not the same from trial to trial. No, the "trials" are not independent of each other. (c) X = number of cities in which it will rain tomorrow among five neighboring cities located within 15 miles of each other. Yes, n = 15 and p = 0.5. Yes, n = 5 and p = 0.5. No, p is not the same from trial to trial. No, the "trials" are independent of each other. No, the "trials" are not independent of each other. = (d) X = number of children who will get the flu this winter in a kindergarten class with 25 children. Yes, n = 10 and p = 0.5. Yes, n = 25 and p = 0.5. No, the "trials" are independent of each other. No, the "trials" are not independent of each other. No, p is not the same from trial to trial. пооооо 1 4
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