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In: Statistics and Probability

A flycatcher is trying to catch passing bugs and will keep going until it gets one,...

A flycatcher is trying to catch passing bugs and will keep going until it gets one, or until it has tried five times, whichever comes first. The probability that it catches a bug on any given try is 20%, and each try is independent.

a) What is the probability that it catches its first bug on an even-numbered attempt?

b) What is the probability that it catches its first bug on an odd-numbered attempt?

c) What is the probability that the bird gives up before catching a fly?

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