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The following is the p.d.g. (Probability...

The following is the p.d.g. (Probability Density Function) of a continuous random varible X:
`f(x)=(x)/(32), 0ltxlt8 =0,` otherwise
(a) Find following the expression for c.d.f. (Cumulative Distribution Function) of X.
(b) Also find its value at `x=0.5 and 9.`

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To solve the problem, we will follow these steps: ### Step 1: Define the Probability Density Function (PDF) The given PDF of the continuous random variable \( X \) is: \[ f(x) = \frac{x}{32}, \quad 0 < x < 8 \] and \( f(x) = 0 \) otherwise. ...
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