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 arrows, what is the probability that the first bull’s-eye is scored with the fourth arrow? (b) What is the probability that the third bull’seye is scored with the tenth arrow? (c) What is the expected number of arrows shot before the third bull’s-eye is scored?

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