Mr. White proposed a method (White’s test) to test whether a dice unbiased as follows.
Toss this dice 3 times independently, and conclude it is biased only if the event of “less
than 3 points” appears great or equal to 2 times. Please answer the following questions.
(1) What is the type I error of White’s test (assume the dice is unbiased)? (10%)
(2) If the event of “less than 3 points” appears with the probability 0.5 (the dice is
indeed biased), what is the power of White’s test? (10%)
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