Recall Problems 3.1.4 and 3.2.5, where an archer hits a bull's-eye with a probability of 0.09. Suppose also that the archer misses the target completely with a probability of 0.12. If the areher shoots eight arrows whose performances are independent of each other, calculate the probability of:
(a) Scoring exactly two bull's-eyes and missing the target exactly once
(b) Scoring exactly one bull's-eye and missing the target exactly twice
(c) Scoring at least two bull's-eyes What is the expected number of times the archer misses the target?