Recall 3.1.4 and 3.2.5, where an archer hits a bulls-eye

Chapter 3, Problem 3.5.3

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

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