Suppose we have an unfair coin with a probability of 0.60.6 of obtaining heads on any given toss. As is typical for coin toss problems, assume each coin toss is independent.

Part (a)

What is the expected number of flips before we get a heads? Round your answer to two decimal places.

Part (b)

How many tails do you expect to see before getting three heads?

For example, imagine you see the third heads on the tenth trial. This would mean you have seen 2 heads in the first 9 trials followed by a head on the tenth. Then your answer would be observing 77 tails. Generalize this to the trial.