13) THE MARKOV CHAIN EXPERIMENT DESCRIBED BELOW HAS TWO STATES: USING A CREDIT CARD AND NOT USING A CREDIT CARD. SHT A. GIVEN THE FIRST MONTH FIND THE PROBABILITIES FOR THE THIRD MONTH. P = Given month Card used Card not used Next month: Uses card .8 88 1.3 Card is not used .2 7 Pr(a woman used a charge card): = .9 Pr(a woman did not use a charge card) = .1 A = [91] AT PLIA CAT B10138 B. FIND THE STEADY STATE VECTOR WHERE THE PROBABILITIES STABILIZE.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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13) THE MARKOV CHAIN EXPERIMENT DESCRIBED BELOW HAS TWO
STATES: USING A CREDIT CARD AND NOT USING A CREDIT CARD.
Hard HT
A. GIVEN THE FIRST MONTH FIND THE PROBABILITIES FOR THE THIRD
MONTH.
P =
Given month
Card used
Card not used
B. FIND THE STEADY
STABILIZE.
Next month:
Uses
card
.8
83
1.3
Card is
not used
(6 POINTS
14) GIV
.2
7
Pr(a woman used a charge card) = .9
Pr(a woman did not use a charge card) = .1
A = [91]
211A
STATE VECTOR WHERE THE PROBABILITIES
Transcribed Image Text:13) THE MARKOV CHAIN EXPERIMENT DESCRIBED BELOW HAS TWO STATES: USING A CREDIT CARD AND NOT USING A CREDIT CARD. Hard HT A. GIVEN THE FIRST MONTH FIND THE PROBABILITIES FOR THE THIRD MONTH. P = Given month Card used Card not used B. FIND THE STEADY STABILIZE. Next month: Uses card .8 83 1.3 Card is not used (6 POINTS 14) GIV .2 7 Pr(a woman used a charge card) = .9 Pr(a woman did not use a charge card) = .1 A = [91] 211A STATE VECTOR WHERE THE PROBABILITIES
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