6. The first two parts are math questions. The last two parts are modeling questions. = (a) X1, X2, ... Xin are independ

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6 The First Two Parts Are Math Questions The Last Two Parts Are Modeling Questions A X1 X2 Xin Are Independ 1 (116.06 KiB) Viewed 127 times

6. The first two parts are math questions. The last two parts are modeling questions. = (a) X1, X2, ... Xin are independent Bernoulli variables with parameter p=ž. Given that X1 = 1, what is the probability X2 = X3 = X4 X 5 = X6 = 0? (b) X1, X2, ... Xn are independent Bernoulli variables with parameter р = Ž. Given that [R=1 Xk = X1 + X2 + X3 + X4 + X5 + X6 > 1, what is the probability ER=1 Xx = 1? (C) A family has 6 children. The oldest child is a girl. What is the probability the family has exactly 5 boys? (d) A family has 6 children. If at least one is a girl, what is the probability the family has exactly 5 boys?