Two dice were thrown 180 times, and at each throw the number X of sixes was recorded, with the following results. Number of sixes Frequency (x) (f₂) 0 1 2 Total 105 70 5 180 (a) Test the hypothesis that the distribution of X is binomial with probability p of obtaining a six given by p= (b) Explain how the test would be modified when the hypothesis to be tested is that X has a binomial distribution, but p is unspecified.

Two dice were thrown 180 times, and at each throw the number X of sixes was recorded, with the following results. Number of sixes Frequency (x) (f₂) 0 1 2 Total 105 70 5 180 (a) Test the hypothesis that the distribution of X is binomial with probability p of obtaining a six given by p= (b) Explain how the test would be modified when the hypothesis to be tested is that X has a binomial distribution, but p is unspecified.

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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