A certain basketball player practices shooting free throws over and over again. The
Chapter 4, Problem 51(choose chapter or problem)
A certain basketball player practices shooting free throws over and over again. The shots are independent, with probability p of success. (a) In n shots, what is the expected number of streaks of 7 consecutive successful shots? (Note that, for example, 9 in a row counts as 3 streaks.) (b) Now suppose that the player keeps shooting until making 7 shots in a row for the first time. Let X be the number of shots taken. Show that E(X) 7/p7. Hint: Consider the first 7 trials as a block, then the next 7 as a block, etc.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer