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Mathematics, 28.10.2019 23:31 rclara34oxbrr9

Starting at a fixed time, we observe the gender of each newborn child at a certain hospital until a boy (b) is born. assume that successive births are independent and let y = the number of girls born before the experiment terminates. with p = p(b)and 1 − p = p(g), what is the pmf of y? [hint: first list the possible values of y, starting with the smallest, and proceed until you see a general formula.] (enter your answer in terms of p and y.)

p(y) = y = 0, 1, 2, 3, 4,

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