Having some trouble with the material, so I just wanted to double check this question.
A basketball player makes 95% of his free throws. If he attempts 350 free throws in a season, what is the expected number of streaks of 50 or more consecutive free throws made?
I used a formula (p^k)(1+(n-k)q), where I figured p= .95, q= 1-p = .05, n = 350, k = 50. The answer I got was E(k) ≈ 1.23. Did I go about this correctly?