Consider a sequence of \(n\) independent coin flips of a fair coin. Define a streak of heads as an uninterrupted run of heads, and efine a streak of tails analogously. We are interested in the number of streaks in a sequence of flips. For example, consider the sequence below:

\[ hhhttthhttthhhhhthtthhhh. \]

It contains 9 streaks. Here is the sequence again with the streaks separated:

\[ hhh\quad ttt\quad hh\quad ttt\quad hhhhh\quad t\quad h\quad tt\quad hhhh. \]

In a sequence of \(n\) flips of a fair coin, let \(Y\) be the number of streaks. What is the range of \(Y\), and what is its PMF?