23. A monkey is sitting on 0 on the real line in period 0. In every period t e {0,1, 2, ...}, it moves 1 to the right with probability p and 1 to the left with probability 1– p, where p e ¿,1]. Let Tk denote the probability that the monkey will reach positive integer k in some period t > 0. The value of Tk for any positive integer k is А. pt В. 1 pk (1–p)* D. k C. С. P.

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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23. A monkey is sitting on 0 on the real line in period 0. In every
period t e {0, 1,2, ...}, it moves 1 to the right with probability p
and 1 to the left with probability 1 – p, where p e , 1]. Let T:
denote the probability that the monkey will reach positive integer
k in some period t > 0. The value of T for any positive integer k
is
A. pk
В. 1
С.
pk
(1–p)k
D. .
24. Refer to the previous question. Suppose p = ; and T; now denotes
the probability that the monkey will reach any integer k in some
period t > 0. The value of To is
A. 0
В.
C.
1
D. 1
Transcribed Image Text:23. A monkey is sitting on 0 on the real line in period 0. In every period t e {0, 1,2, ...}, it moves 1 to the right with probability p and 1 to the left with probability 1 – p, where p e , 1]. Let T: denote the probability that the monkey will reach positive integer k in some period t > 0. The value of T for any positive integer k is A. pk В. 1 С. pk (1–p)k D. . 24. Refer to the previous question. Suppose p = ; and T; now denotes the probability that the monkey will reach any integer k in some period t > 0. The value of To is A. 0 В. C. 1 D. 1
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