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Please provide steps for how you got the solution to the problem provided in the photos below. I previously asked this on here and the answer provided was confusing and

Please provide steps for how you got the solution to the problem provided in the photos below. I previously asked this on here and the answer provided was confusing and

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Please provide steps for how you got the solution to the problem provided in the photos below. I previously asked this on here and the answer provided was confusing and wrong.

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.
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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