On any given day my mood can be in one of three states: happy, sad, or morose. If I am happy on a given day, then on the next day I will be happy 80% of the time, sad 15% of the time, and morose 5% of the time. If I am sad on a given day, then on the next day I will be happy 50% of the time, sad 20% of the time, and morose 30% of the time. If I am morose on a given day, then on the next day I will be happy 40% of the time, sad 40% of the time, and morose 20% of the time. Given that I am sad today, find the probability that I will be in each of the three moods in 5 days.

On any given day my mood can be in one of three states: happy, sad, or morose. If I am happy on a given day, then on the next day I will be happy 80% of the time, sad 15% of the time, and morose 5% of the time. If I am sad on a given day, then on the next day I will be happy 50% of the time, sad 20% of the time, and morose 30% of the time. If I am morose on a given day, then on the next day I will be happy 40% of the time, sad 40% of the time, and morose 20% of the time. Given that I am sad today, find the probability that I will be in each of the three moods in 5 days.

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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