2. 0) with p = 0.4 Compute the = Let (Sn)nzo be a simple random walk starting in 0 (i.e. So : 1 − p = 0.6 (probability to move down). (probability to move up) and q following probabilities: (a) P(S2 = 2, S5 = 1), (b) P(S₂ = 2, S4 = 3, S5 = 1), = - (c) P(M7-5, S7 = -5), where Mn = mino

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Question
2.
0) with p = 0.4
Compute the
=
Let (Sn)nzo be a simple random walk starting in 0 (i.e. So
: 1 − p = 0.6 (probability to move down).
(probability to move up) and q
following probabilities:
(a) P(S2 = 2, S5 = 1),
(b) P(S₂ = 2, S4 = 3, S5 = 1),
=
-
(c) P(M7-5, S7 = -5), where Mn
=
mino<i<n Si.
Transcribed Image Text:2. 0) with p = 0.4 Compute the = Let (Sn)nzo be a simple random walk starting in 0 (i.e. So : 1 − p = 0.6 (probability to move down). (probability to move up) and q following probabilities: (a) P(S2 = 2, S5 = 1), (b) P(S₂ = 2, S4 = 3, S5 = 1), = - (c) P(M7-5, S7 = -5), where Mn = mino<i<n Si.
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