Two dice were thrown 180 times, and at each throw the number X of sixes was recorded, with the following results.

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Statistics and probability
Two dice were thrown 180 times, and at each throw the number X of sixes was recorded, with
the following results.
Number of sixes
(x)
1
2
Total
Frequency
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.
Transcribed Image Text:Two dice were thrown 180 times, and at each throw the number X of sixes was recorded, with the following results. Number of sixes (x) 1 2 Total Frequency 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.
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