A bored student starts rolling a die. (a) Let N7 be the number of tries he...

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A bored student starts rolling a die.

(a) Let N7 be the number of tries he needs to get 7 fours. Finda formula for the exact probability P(N7 = 42). You do not have toevaluate it to get a number. To get started note that in order forN7 = 42, the 42nd toss must be a four.

(b) Let N30 be the number of tries he needs to get 30 fours. Usethe central limit theorem with the histogram correction tocalculate P (N30 ≤ 180).

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