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

A single observation of a random variable having a uniform density with = 0 is used

Question:

A single observation of a random variable having a uniform density with α = 0 is used to test the null hypothesis β = β0 against the alternative hypothesis β = β0 + 2. If the null hypothesis is rejected if and only if the random variable takes on a value greater than β0 + 1, find the probabilities of type I and type II errors.