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$f(x) = \begin{Bmatrix} cx & if (0<x<4) \\ 0 & otherwise \end{Bmatrix}$

(b) Compute $P(1\leqslant X\leqslant 2)$
in Probability by Boss (10.9k points) | 36 views

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$P(1 \leq x \leq 2) = \Large \int_{1}^{2} c x = c \int_{1}^{2}x$

$\large = \frac{1}{8} \int_{1}^{2}x$

$\large = \frac{1}{8} \left [ \frac{x^2}{2} \right ]_1^{2}$

$= \Large\frac{3}{16}$
by Boss (36.8k points)
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