In this problem we consider the problem of testing whether a randomly generated sequence is truly random. a certain computer program is supposed to generate bernoulli iid sequences with parameter 0.5. when you try it out, you are surprised that it contains long streaks of 1s. in particular, you generate a sequence of length 200, which turns out to contain a sequence of 8 ones in a row. let s be equal to the longest streak of 1s in an iid bernoulli sequence of length 5. compute the pmf of s exactly.