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
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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Question
![Two dice were thrown 180 times, and at each throw the number X of sixes was recorded, with
the following results.
0
Number of sixes
Frequency
1 2 Total
70 5 180
(fr)
105
(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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04eea2f5-08d8-48d2-947d-7aed971cefc4%2Ffd525057-a270-4d5e-83c7-64b73c66ab28%2F3djkc6a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Two dice were thrown 180 times, and at each throw the number X of sixes was recorded, with
the following results.
0
Number of sixes
Frequency
1 2 Total
70 5 180
(fr)
105
(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.
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