Probability
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For the following questions, would the following be considered "significant" if its probability is less than or equal to 0.05?
a) Is it "significant" to get a 12 when a pair of dice is rolled?
b) Assume that a study of 500 randomly selected school bus routes showed that 480 arrived on time. Is it "significant" for a school bus to arrive late?
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Solution Summary
The solution checks the significance of some events using probability criterion.
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a) Let C denote the event of getting a 12 when a pair of dice is rolled.
The list of all possible outcomes is given below:
{(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),
(4,1), (4,2), (4,3), (4,4), ...
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