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The p.d.f of continuous random variable ...

The p.d.f of continuous random variable X is given by `f(x)=x/8,0 lt x lt 4 =0` otherwise. Find (i) `P(X lt 2) (ii) P(2 lt X le 3) ( iii) P( X gt 3.)`

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To solve the problem, we will calculate the probabilities step by step using the given probability density function (p.d.f) of the continuous random variable \(X\). The p.d.f is given by: \[ f(x) = \begin{cases} \frac{x}{8} & \text{for } 0 < x < 4 \\ ...
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