Answer
2.4
Work Step by Step
$P(x \leq a) = 0.2$
$P(x \leq a) = ∫_{-∞}^{a} f(x).dx$
= $∫_{-∞}^{a} \frac{1}{d-c}.dx$
= $∫_{-∞}^{a} \frac{1}{2}.dx$
= $∫_{-∞}^{2} \frac{1}{2}.dx + ∫_{2}^{a} \frac{1}{2}.dx$
= 1/2 (0) + 1/2 (a-2)= (a-2)/2
Since $P(x \leq a) = 0.2$
(a-2)/2 = 0.2
a-2 = .4
a = 2 + .4 = 2.4
