Mathematics, 22.04.2020 23:45 S917564

Alice, Bob, and Charlotte are looking for butterflies. They look in three separate parts of a field, so that their probabilities of success do not affect each other. Alice finds 1 butterfly with probability 17%, and otherwise does not find one. Bob fines 1 butterfly with probability 25%, and otherwise does not find one. Charlotte finds 1 butterfly with probability 45%, and otherwise does not find one. Let X be the number of butterflies that they find together. What is the expected value of X?

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Alice, Bob, and Charlotte are looking for butterflies. They look in three separate parts of a field,...