4) Receiver operator curve(20 pts.) Suppose that are null hypothesis for a coin following a Bernoulli distribution is that it is even with qo = 0.5. However we become suspicious and believe that it is favoring heads and instead follows a Bernoulli distribution with q1 = 0.75. Let n represent the number of Bernoulli trials.a} (5 pts.) Derive the Bayesian Decision rule for n i.i.d. samples only assuming 9'1 :- q. Explain the physical meaning of this rule