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Please show detailed working 4.) Probability (1 point each) a) Of the 216 players on a major league soccer team, 80.1% ate hamburgers for lunch.

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4.) Probability (1 point each) a) Of the 216 players on a major league soccer team, 80.1% ate hamburgers for lunch. If 3 players selected at random, what is the probability that all three ate hamburgers for lunch? b) Suppose there are three people in the room. Find the probability that each had a different birthday. Express your answer as a decimal rounded to the thousandths place. c) Pathology Pediatrics Psychiatry Male 12,575 33,020 27,803 Female 5,604 33,351 12,292 (i) Choose 1 doctor at random. Find P (male|pediatrician). (ii) Choose 1 doctor at random. Find P(pathologist|female)

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