Melchester Rovers football club have such an attacking style of play that they either win a match or lose it, but never draw. If they win a match, their confidence increases and the probability that they win their next match is 0.9. If they lose a match then their confidence decreases and the probability that they win their next match is only 0.3. Let v,, = they win their nth match. -Pr where p is the probability that a Find M, where M is the transition matrix definded by v = Mv, b Sketch a labelled directed graph that represents the situation. [2 marks] [2 marks] c As n tends to infinity v tends to a steady state of V = By solving a linear equation find r and V. [4 marks]
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Chlorophyll absorbs red or blue light and reflects green light because of which leaves appear to be green in colour. ... Pigments like betalains (red or yellow pigments) and other chlorophyll pigments mask the green colour of the leaf.
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Sewage is a liquid containing wastes which is disposed by households, industrials and agriculture activities in water.
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