# Question: A single observation of a random variable having a uniform

A single observation of a random variable having a uniform density with Î± = 0 is used to test the null hypothesis Î² = Î²0 against the alternative hypothesis Î² = Î²0 + 2. If the null hypothesis is rejected if and only if the random variable takes on a value greater than Î²0 + 1, find the probabilities of type I and type II errors.

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