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The range of a random variable X is {0, 1, 2}. Given that `P(X=0)=3c^(3),P(X=1)=4c-10c^(2),P(X=2)=5c-1` where c is constant.
Find (i) the value of c (ii) `P(X lt 1)`
(iii) `P(1lt X le2)` (iv) `P(0lt X le3)`

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The correct Answer is:
(a) `(1)/(3)`; (b) `(1)/(9)`; (c) `(2)/(3)` ; (d) `(8)/(9)`
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AAKASH SERIES-RANDOM VARIABLES-Exercise 4.1
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