You roll a fair six-sided die until you obtain your first six. Let X record the number of rolls that you make before you obtain your first six (i.e. do not count the roll on which you obtain your first six). (a) State the distribution of X.

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You roll a fair six-sided die until you obtain your first six. Let X record the number of rolls
that you make before you obtain your first six (i.e. do not count the roll on which you
obtain your first six).
(a) State the distribution of X.
b. Now define a trial to be the procedure described in part (a). Repeat 5 trials. Let Y record the
number of trials in which you make at least two rolls before you obtain your first six. State the
distribution of
Transcribed Image Text:You roll a fair six-sided die until you obtain your first six. Let X record the number of rolls that you make before you obtain your first six (i.e. do not count the roll on which you obtain your first six). (a) State the distribution of X. b. Now define a trial to be the procedure described in part (a). Repeat 5 trials. Let Y record the number of trials in which you make at least two rolls before you obtain your first six. State the distribution of
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