(Extra Credit 10 points) Let the random variable X be an observation from an exponential distribution with known =@ parameter @, i.e., fy(x) = {99 , x=20 0, % &0 Consider the following hypothesis testing problem (where 8, > 6;): HO: 0 = 90 Hl: e 91 (a) Assuming that the prior probabilities, P(H,) and P(H,) are equally likely, determine the statistical test to decide between H, and H;. (b) Find the power of the test