In: Statistics and Probability
6. An expert sharpshooter misses a target 10 percent of the
time.
(a) What is the probability that she misses the target for the first
time in her second shot? (b) What is the probability that she
misses the target for the first time in her xth shot? (c) What is
the probability that the first miss comes after the 3rd shot? (d)
How many shots does she expect to fire to suffer the first miss? (e)
What is the probability that she will suffer 2 misses from 10 shots?
(f) What is the probability that she will suffer at least 1 miss
from the 10 shots? (g) What is the probability that she misses the
target for the second time in her 10th shot?