Question 1Alice is suffering from bipolar disorder, i.e. she experiences random mood swings betweenemotional highs (mania) and lows (depresssion). If she has her emotional high chances are that shewill stay in this manic state with probability p = 0.8 or that she will become depressive withprobability p = 0.2. However, if she is despressive, chances are that she will remain depressive withprobability p= 0.35 or that she will make a recovery and switch to another emotional and energetichigh with probability p= 0.65.a. Draw the graphical representation of this Markov chain.b. Is this Markov chain absorbing?c. Find the equilibrium distribution of this Markov chain. That is, on how many days canwe expect Alice to be either manic or depressive on average?

ANSWER:a. The graphical representation of this Markov chain can be drawn as follows:The nodes…

Answered: Question 1 Alice is suffering from…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A venture capitalist is deciding among two investment opportunities. Opportunity A will provide him $4 million profit with 73% probability if it stays at base level i.e. same. But if it’s a wild success, he can sell the venture for a sure amount of $5 million or continue with the venture (that will surely put him on risk once again) where he can earn $1 million profit with probability “a” and win $15 million profit otherwise. On the other hand, if he choose to grab opportunity B, there is a “b” percent chance of winning $10 million profit and he can earn $2 million otherwise.  Determine the strategy region for him.  What will be the two critical points of the region where he will be indifferent among the two decision alternatives?
A person rides uber 30% of the time, her roommate gives her a ride 30% of the time and she rides with her mom 40% of the time. She is late 10% of the time with her roommate she is late 3% of the time when she rides uber and 7% of the time when she rides with her mom. What is the probability that she wil be on time if she rides with her roommate?
In a football match, there is a new striker on the Juventus side. The probability that the new striker will score goal today is three times higher than scoring none. Rakin and his friends are watching this match. Rakin tells his friends that the new striker is left footed as he read about him in an article; but, some friends are not believing him. The match is about to start and on the screen there is a note saying opponent defenders of Juventus are strong against right footed strikers. So, the probability of the striker being left footed will be five times higher if the striker scores a goal than scoring none. When match started, Rakin and his friends saw that the new striker is left footed. What is the probability that the striker will score today?
Suppose we conduct a study about the effect of a certain trait on the recovery of a person from a certain illness. Let the probability that a person recovers from a certain illness be equal to 0.4 and the probability that a person possesses the trait be equal to 0.3. If getting an illness and possessing the trait are independent events, what is the probability that at least 10 out of the 15 survivors possess the trait?
In 2013, the total sales from 3 different car production companies was 606,334 cars or light trucks. The probability that the vehicle was made by Company A was 0.386, by Company B 0.350, and by Company C 0.258. Additionally, the probability that a Company A vehicle sold was a car was 0.379, a Company B vehicle sold was a car was 0.370, and a Company C vehicle sold was a car was 0.332. Given the vehicle sold was a car, find the probability it was made by Company A. The probability a vehicle was made by Company A, given it was a car is (Round to three decimal places as needed.)
3. You get a haircut from Barber Shop 1 30% of the time and Barber Shop 2 70% of the time. Barber Shop 1 gives a good haircut 80% of the time and a bad haircut 20% of the time while Barber Shop 2 gives a good haircut 90% of the time and a bad haircut 10% of the time. For any given haircut, the probability that it is a bad haircut from Barber Shop 1 is Barber Shop 2 is and the probability that it is a good haircut from O.06; .63 .2; .73 O.06; .73 .2; .63
In 2013, the total sales from 3 different car production companies was 606,334 cars or light trucks. The probability that the vehicle was made by Company A was 0.381, by Company B 0.350, and by Company C 0.258. Additionally, the probability that a Company A vehicle sold was a car was 0.385, a Company B vehicle sold was a car was 0.370, and a Company C vehicle sold was a car was 0.332. Given the vehicle sold was a car, find the probability it was made by Company A. The probability a vehicle was made by Company A, given it was a car is (Round to three decimal places as needed.)
Do question 2

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