The transition matrix for a Markov process is given byState1212State 143T=3State 243(a) What does the entry a2 =represent?The conditional probability that the outcome state 2 vill occur given that the outcome state 1 has occurred is .O The conditional probability that the outcome state 1 will occur given that the outcome state 2 has occurred isThe conditional probability that the outcome state 1 will occur given that the outcome state 1 has occurred isThe conditional probability that the outcome state 2 will occur given that the outcome state 2 has occurred isO None of these are correct.(b) Given that the outcome state 1 has occurred, what is the probability that the next outcome of the experiment will be state 2?3/4(c) If the initial-state distribution is given byState 1X =State 2find TX, the probability distribution of the system after one observation.3/4X =1/4

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Answered: c) If the initial-state distribution is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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According to a study by Weight Loss R US of their live-in weight loss program, the people who follow his program lose between 6 and 14 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. Suppose it is known that the individual lost more than ten pounds in a month. Find the probability that he lost less than 10 pounds in the month. (round your answers to 4 decimals.)
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Part 1 of 6 Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of light bulbs that burn out in the next year in a room with 13 bulbs b. The hair color of adults in the United States c. The number of pigeons in a country d. The time it takes for a light bulb to burn out e. The number of free-throw attempts before the first shot is missed f. The number of people in a restaurant that has a capacity of 150 ..... a. Is the number of light bulbs that burn out in the next year in a room with 13 bulbs a discrete random variable, continuous random variable, or not a O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable.
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c) If the initial-state distribution is given by State 1 5 State 2 find TXg, the probability distribution of the system after one observation. 3/4 1/4