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The probability density function of X is...

The probability density function of X is given by f(x) = `{(ke^(-x/3),"for" " "xgt0),(0, "for" " " xlt=0):}`
Find (i) the value of k (ii) the distribution function (iii) `P(X lt 3)` (iv) `P(5lt=X)` (v) `P(X lt=4)` .

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