Callum always eats either pancakes, chicken or fish for supper. If he has pancakes today, then there's a 60% chance he'll have chicken tomorrow, and a 10% chance he'll have fish tomorrow. If he has chicken today, then there's a 70% chance he'll have pancakes tomorrow, and a 9.99999999999999% chance he'll have fish tomorrow. If he has fish today, then there's a 20% chance he'll have pancakes tomorrow, and a 30% chance he'll have chicken tomorrow. Letting "eats pancakes" be state 1, "eats chicken" be state 2, and "eats fish" be state 3, find the transition matrix. P: In the long term, Callum will eat pancakes about % of the time, chicken about % of the time, and fish about % of the time.
Callum always eats either pancakes, chicken or fish for supper. If he has pancakes today, then there's a 60% chance he'll have chicken tomorrow, and a 10% chance he'll have fish tomorrow. If he has chicken today, then there's a 70% chance he'll have pancakes tomorrow, and a 9.99999999999999% chance he'll have fish tomorrow. If he has fish today, then there's a 20% chance he'll have pancakes tomorrow, and a 30% chance he'll have chicken tomorrow. Letting "eats pancakes" be state 1, "eats chicken" be state 2, and "eats fish" be state 3, find the transition matrix. P: In the long term, Callum will eat pancakes about % of the time, chicken about % of the time, and fish about % of the time.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 2SC: How many different signals can be sent, when three flags are used, if two of the 9 flags are...
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Transcribed Image Text:Callum always eats either pancakes, chicken or fish for supper. If he has pancakes today, then there's a 60% chance he'll have chicken tomorrow, and a 10% chance he'll have fish tomorrow. If he has
chicken today, then there's a 70% chance he'll have pancakes tomorrow, and a 9.99999999999999% chance he'll have fish tomorrow. If he has fish today, then there's a 20% chance he'll have pancakes
tomorrow, and a 30% chance he'll have chicken tomorrow.
Letting "eats pancakes" be state 1, "eats chicken" be state 2, and "eats fish" be state 3, find the transition matrix.
P:
In the long term, Callum will eat pancakes about % of the time, chicken about % of the time, and fish about
% of the time.
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