Recall Problem 3.1.4 where an archer hits a bull's-eye with a probability of 0.09. and the results of different attempts can be taken to be independent of each other,
(a) If the archer shoots a series of arrow s, w hat is the probability that the first bull's-eye is scored with the fourth arrow?
(b) What is the probability that the third bull"s-eye is scored with the tenth arrow?
(c) What is the expected number of arrows shot before the first bull's-eye is scored'.'
(d) What is the expected number of arrows shot before the third bull's-eye is scored?