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Problem 19.38. A box has 1024 fair and 1 twoheaded coin. You pick a coin randomly. make 10 flips and get all H. (a) You

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Problem 19.38. A box has 1024 fair and 1 twoheaded coin. You pick a coin randomly. make 10 flips and get all H. (a) You flip the same coin you picked 100 times. What is the expected number of H? (b) You flip the same coin you picked unitl you get H. What is the expected number of flips you make? Problem 20.14. A Martian couple has children until 2 males. On Mars, males are half as likely as females and children are independent. Compute the expected number of children the couple will have

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