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Biologists catch Costa Rican glass frogs for breeding. There is 75% probability that a glass frog they catch is male. Biologists would like to have

Biologists catch Costa Rican glass frogs for breeding. There is 75% probability that a glass frog they catch is male. Biologists would like to have at least 2 female frogs. What is the expected value of the total number of frogs caught, until they reach their goal? What is the probability that they will need exactly 6 frogs to reach their goal?

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