3. Suppose we observe a random variable X having the exponential distribution with param-eter A, which means that X has pdf Ae—As if x 0 fx(x; A) = 0 otherwise (a) Find the critical region for a test...

3. Suppose we observe a random variable X having the exponential distribution with param-eter A, which means that X has pdf
Ae—As if x 0 fx(x; A) = 0 otherwise (a) Find the critical region for a test that is uniformly most powerful for testing Ho : A = 4 against Hi : A > 4 at level of significance .05. (b) Find the critical region for a test that is uniformly most powerful for testing Ho : A = 4 against Hi : A