Question

Select the best answer. Which of the following random variables is geometric? (a) The number of times I have to roll a die to get two 6s. (b) The numb

Upper level probability
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asked 2021-01-06
Select the best answer. Which of the following random variables is geometric?
(a) The number of times I have to roll a die to get two 6s.
(b) The number of cards I deal from a well-shuffled deck of 52 cards until I get a heart.
(c) The number of digits I read in a randomly selected row of the random digits table until I find a 7.
(d) The number of 7s in a row of 40 random digits.
(e) The number of 6s I get if I roll a die 10 times.

Answers (1)

2021-01-07
1) A variable uses a geometric distribution if: The variable is number of failures before the first success.
Each draw is independent of the previous ones
2)(a) Not geometric, because it contains the number of failures before the first TWO successes.
(b) Not geometric, because the cards are not being replaced.
(c) Geometric
(d) Not geometric, counts the number of successes instead of the number of failures before the first success.
(e) Not geometric, counts the number of successes instead of the number of failures before the first success.
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