Solution Found!
An excellent free-throw shooter attempts several free
Chapter 2, Problem 1E(choose chapter or problem)
Problem 1E
An excellent free-throw shooter attempts several free throws until she misses.
(a) If p = 0.9 is her probability of making a free throw, what is the probability of having the first miss on the 13th attempt or later?
(b) If she continues shooting until she misses three, what is the probability that the third miss occurs on the 30th attempt?
Questions & Answers
QUESTION:
Problem 1E
An excellent free-throw shooter attempts several free throws until she misses.
(a) If p = 0.9 is her probability of making a free throw, what is the probability of having the first miss on the 13th attempt or later?
(b) If she continues shooting until she misses three, what is the probability that the third miss occurs on the 30th attempt?
ANSWER:
Step 1 of 3:
Here the experiment given is of a shooter who attempts several free throws until her first miss.
Let us denote a random variable X as the number of free attempts until the first miss.