4. The gambler bets $1 per game and either wins or loses each game. The gambler is ruined ifhe/she reaches state 0 and the gambler stops playing if he/she reaches state N, a winner.The probability of winning is p > 0 and the probability of losing is q> 0, p + q = 1 (that isPi,i+1 = p and Pi+1,i q. In addition Poo = 1 = PNN.a. Write the stochastic matrix P correspond to this case? What is the state space?b. Identify the communicating classes and classify the Markov chain as reducible orirreducible, closed or not closed?c. Identify each states as transient of recurrent?

The probability of winning is p > 0 and probability of losing is q > 0, p + q = 1(that is ).

Answered: 4. The gambler bets $1 per game and…

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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OSM HTAM MATH 1420 11. A roulette wheel has 38 slots around the rim. The first 36 slots are numbered from 1 to 36. Half of these 36 slots are red, and the other half are black. The remaining 2 slots are numbered 0 and 00 and are green. As the roulette wheel is spun in one direction, a small ivory ball is rolled along the rim in the opposite direction. The ball has an equally likely chance of falling into any one of the 38 slots. Find each of the following: a. The probability that the ball lands in a black slot. b. The probability that the ball lands on 0 or 00. C. The probability that the ball does not land on a number from 1 through 12 d. The probability that the ball lands on an odd number or on a green slot
Suppose you are playing a game of Yahtzee. You know that you play with 5 dice, each with 6 sides. Since the dice are all rolled at the same time, let the roll (5, 4, 3, 2, 1) to be equal to (2, 4, 5, 1, 3). Assume for this question that we will only be rolling the dice once. (i) How many ways can you roll all the dice? (ii) To win 50 points you would need all the dice to roll the same number (ex. (1, 1, 1, 1, 1)). How many ways can you win the 50 points? (iii) Suppose you are trying to get your dice to roll only consecutive numbers (ex. (1, 2, 3, 4, 5) or (2, 3, 4, 5, 6)) How many different ways are there to do this? (iv) Suppose instead you are trying to get your dice to roll 4 consecutive numbers (ex. (1, 2, 3, 4, 1) or (2, 3, 4, 5, 3)) How many different ways are there to do this? (make sure to not count any only consecutive numbers) This is a combinatorics math counting problem.
Suppose you just purchased a digital music player and have put 15 tracks on it. After listening probability that among the first two songs played (a) You like both of them. Would this be unusual? (b) You like neither of them. (c) You like exactly one of them. (d) Redo (a)-(c) if a song can be replayed before all 15 songs are played. them you decide that you like 2 of the songs. With the random feature on your player, each of the 15 songs is played once in random order. Find the (a) The probablility that you like both songs is 0.010. (Round to three decimal places as needed.) Would it be unusual for you to like both of the songs? * Yes X No (b) The probability that you like neither song is. (Round to three decimal places as needed.) Question Viewer
Suppose the probability that a person likes APPLES and BANANAS is 0.4120 and the probability that a person likes BANANAS given they like APPLES is 0.5330. What is the probability that a person likes APPLES? I need helpremebering the steps to the solution which I know is 0.7730
9. By rewriting the formula for the Multiplication Rule, you can write a formula for finding P(A and B) conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B| A) = P(A) the information below to find the probability that a flight arrives on time given that it departed on time. The probability that an airplane flight departs on time is 0.92. The probability that a flight arrives on time is 0.86. The probability that a flight departs and arrives on time is 0.83. The probability that a flight arrives on time given that it departed on time is (Round to the nearest thousandth as needed.) . Use
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Pavan
60. The probabilities of X, Y and Z becoming managers are 4 2 and respectively. The probabilities that the Bonus Scheme will be 3 1 introduced if X, Y and Z become manager are 10 2 and respectively. (i) What is the probability that the Bonus Scheme will be introduced; and (ii) If the Bonus Scheme has been introduced, what is the probability that the manager appointed was X ?
1what are the chances that the runn ers from Detroit and Kiercrest will finish Ist and 2nd, regardless of the acler? Thae ae a runners in the finals of the district 100 mekr race. TThree of the FrUnners are from Clarksulle, two and from Linden- Kildare, oneis from Delvait, one is from hiverenest and two are rom Naud What are the Chances that the winner of the race will vbe fream Clarksuille a lik2
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