Briefly explain markov chains, Mathematics

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Question 1 An experiment succeeds twice as often as it fails. Find the chance that in the next six trials there will be at least four successes

Question 2 An insurance company has discovered that only about 0.1% of the population is involved in a certain type of accident each year. If its 10000 policy holders were randomly selected from the population, what is the probability that not more than 5 of its clients are involved in such an accident next year?

Question 3 Briefly explain Markov chains

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Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/16 - 3/4 = -11/16 implies x = (-1+i(11)^(1/2))/4 and its conjugate.

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