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can you help me to understand the method behind answering this Q11: In a computer game, the square screen of side 1 is divided into

can you help me to understand the method behind answering this

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Q11: In a computer game, the square screen of side 1 is divided into a number of regions: (1) the inside and outside of a centred circle, C, of radius %; (ii) the inside and outside of a centred circle, c, of radius %; and (iii) the upperhalf, H, and lowerhalf screens. The dynamics of the ball during onesecond intervals are studied and the following are noted: 1. If inside c at the start of the interval, the ball always appears outside c but inside C at the end of that interval; if inside 0 initially, it appears inside c a second later, in 10% of cases; 2. If inside C initially, it is still there a second later, in 30% of cases; if outside C, it stays there in 80% of cases; 3. If inside H initially, it is still there a second later, in 70% of cases; if outside H, it stays there in 40% of cases; Stating any assumptions that you make, specify an appropriate Markov chain model for the dynamics of the ball. Hence, specify the computations needediin Matlab for instanceto evaluate each of the following probabilities: (a) if the ball starts inside c, the probability that it appears inside C after 5 seconds; (b) if the ball starts inside c, the probability that it appears outside H after 5 seconds; (c) the probability that the ball appears inside H but outside C after 5 seconds; after 10 seconds

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