Exercise 2 Multiple Choice. Select all correct answers in each case. 1. Adam and

Question

Exercise 2 Multiple Choice. Select all correct answers in each case. 1. Adam and Eve both roll a fair die. If they roll the same number, the game is repeated, otherwise whoever rolls the larger number wins. Let N denote the number of times the two dice have to be rolled before the game is decided. Assume that Eve gets paid $10 for winning in the first round, $1 for winning in any other round, and nothing otherwise. O N is Binomial(10,1/6) O N is Geometric(5/6) O Eve can expect to win $4.5 O Eve can expect to win $4.25 IOscores follow a normal distribution with mean 100 and standard deviation 15.

Explanation / Answer

The probability that two die will show the same number = 1/6.

Hence, the probability that the game will continue after a

throw = (1 - 1/6) = 5/6.

Hence, the number of trials required to decide the winner will

follow Geometric distribution with parameter, p = 5/6.

Hence, N ~ Geometric (5/6). (Ans).

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