Coin 1 has P(Heads) = 0.6, and Coin 2 has P(Heads) = 0.5. Coin 1 is flipped until the first time Tailsappears. Then Coin 2 is flipped until the first time Tails appears. This process is continued, flipping andswitching each time Tails appears.
a). The process starts with flipping Coin 1. Find the expected number of flips until the first switch to Coin2 occurs.
b). What proportion of time, on average, is Coin 1 flipped? [Hint: set up the problem as a two-state Markovchain, and find the stationary distribution]