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

boitshupoO

boitshupoO

Answered question

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.

Answer & Explanation

Usamah Prosser

Usamah Prosser

Skilled2021-01-07Added 86 answers

1) If the variable represents the number of failures prior to the first success, then a geometric distribution is used.
Each draw is separate from the ones that came before it.
2)(a) Not geometric because it includes the quantity of failures that preceded the first TWO successes.
Because the cards are not being changed, (b) is not geometric.
(c) Geometric (d) Non-geometric; counts the successes rather than the failures that came before each accomplishment.
(e) Non-geometric; counts the successes rather than the failures that came before each accomplishment.

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