4. (23 pts) As you may recall, the American rouletie wheel has 38 equally-kely slots. Of...

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Answer 1

Answer #1

a)probability of red =18/38=9/19 (as there are 18 slot of red out of 38)

here X follows geometric distribution for which probability mass function

P(X=x) =P(till x-1 events red does not appear and on Xth event red appears) P(X=x) =(10/19)^x-1*(9/19)

b)P(at least 4 bets to win first bet) =P(for first 3 bet red does not appear) =(10/19)³=0.1458

c) expected number of bets to first win with red =1/p=1/(9/19) =19/9=2.11

Answer 2

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