1. The chance of heads of a random coin is picked according to the beta (1,1) distribution. For each part, you must show work or reference a relevant section of the textbook. a) Find P(first toss is heads). b) Find P(first toss is heads, second toss is tails). c) Compare your answer in part b to the chance of {first toss is heads, second toss is tails} given that you are tossing a fair coin twice. Is it larger or smaller