i. What is the probability that the student will only eat at Chick-fil-a from Monday to Thursday? ii. If the student has Chipotle on Monday, what is the probability he will have Chipotle again on Friday? iii. If meals at Chick-fil-A, Subway, Chipotle and Panda Express cost $ 7, $ 8, $ 10 and $12 respectively. If a student has Subway on Monday, what is the expected amount she'll spend on Tuesday.
i. What is the probability that the student will only eat at Chick-fil-a from Monday to Thursday? ii. If the student has Chipotle on Monday, what is the probability he will have Chipotle again on Friday? iii. If meals at Chick-fil-A, Subway, Chipotle and Panda Express cost $ 7, $ 8, $ 10 and $12 respectively. If a student has Subway on Monday, what is the expected amount she'll spend on Tuesday.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Please provide steps for how you got the solution to the problem provided in the photos below.
Transcribed Image Text:A student will have lunch around campus every day from Monday to Friday. He always makes
a choice from these four places: Chick-fil-A, Subway, Chipotle and Panda Express. The matrix
below gives the transition probabilities for the preferred lunch place from one day to the next (the
restaurants are given in the order listed above). For example, if the student had Subway today, he
will go to Chipotle tomorrow with probability 0.45.
Note that
p²
=
P4=
P =
0.2 0.1 0.35 0.35
0.3 0.05 0.45
0.25 0.15 0.2
0.2
0.4
0.6 0.05 0.25 0.1
0.3675 0.095 0.2725
0.265
0.3075 0.11 0.2675 0.315
0.385 0.0825 0.295 0.2375
0.2575 0.105 0.3075 0.33
0.3374 0.0957 0.2874 0.2795)
0.3309 0.0965 0.2890 0.2836
0.3416 0.0949 0.2871 0.2764
0.3303 0.0960 0.2904 0.2833,
p³
p5
=
/0.3291
0.0956 0.2921 0.2832)
0.3504 0.0921 0.2894 0.2681
0.318 0.0988 0.2902 0.293
0.3579 0.0936 0.2814 0.2671,
0.3357 0.0956 0.2885 0.2802)
0.3375 0.0954 0.2879 0.2792
0.3344 0.0958 0.2888 0.2810
0.3374 0.0956 0.2878 0.2792,
i. What is the probability that the student will only eat at Chick-fil-a from Monday to Thursday?
ii. If the student has Chipotle on Monday, what is the probability he will have Chipotle again on
Friday?
iii. If meals at Chick-fil-A, Subway, Chipotle and Panda Express cost $ 7, $ 8, $ 10 and $12
respectively. If a student has Subway on Monday, what is the expected amount she'll spend on
Tuesday.
iv. What is the expected amount she'll spend on Thursday.
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