Consider the following test of whether a coin is fair. Toss the coin three times. If the

Question:

Consider the following test of whether a coin is fair. Toss the coin three times. If the coin lands either all heads or all tails, reject H0: p = 1 / 2. (The p denotes the chance for the coin to land on heads.)
(a) What is the probability of a Type I error for this procedure?
(b) If p = 3 / 4, what is the probability of a Type II error for this procedure?