5. Suppose that 20% of the physicians working for a certain hospital retire before age 65, 30%...

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5. Suppose that 20% of the physicians working for a certain hospital retire before age 65, 30% retire at ages 65-69, and the remaining 50% retire at age 70 or later. If physicians retire independently of each other, what is the probability that the median age of five randomly selected retired physicians from this hospital is below 65?

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