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The cumculative distribution function of...

The cumculative distribution function of a discrete random variable is given by
`F(x)={{:(0, "for "-infty lt x lt 0), ( 1/2, "for " 0 le x lt 1), (3/5, "for " 1 le x lt 2), (4/5, "for " 2 le x lt 3), (9/10, "for " 3 le x lt 4), (1, "for " 4 le x lt infty):}`
Find (i) the probability mass function (ii) `P(X lt 3)` and (iii) `P(X ge 2)`.

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