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Let, X denote the number of colleges whe...

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 `P(X=x)={k x,ifx=0or1 2k x,ifx=2k(5-x),ifx=3or4 0,ifx >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.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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