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For the distribution function given by F...

For the distribution function given by `F(x)={{:(0",", x lt 0), (x^(2)",", 0 le x le 1), (1",", x gt 1):}`. Find the density function.
Also evaluate (i) `P(0.5 lt x lt 0.75)` (ii) `P(x le 0.5)` (iii) `P(X gt 0.75)`

Text Solution

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The correct Answer is:
(i) 0.3125 (ii) 0.25 (iii) 0.4375
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