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(chatquestion)...-Let X denote the number of colleges where you will apply after your results and P(X = x) denotes your probability of getting admission in x number of colleges. It is given that (kx if x = 0 or 1 %3D 6. 2kx P(X = x) = if x = 2 %3D |3| if x = 3 or 4 k(5 - x) 6. if x> 4 where k is a positive constant. Find the value of k. Also, find the probability that you will get admission in (i) exactly one college (ii) at most 2 colleges (iii) at least 2 colleges. Foreign 2016

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