## Statistics (12th Edition)

$P(x \leq a) = 0.2$ $P(x \leq a) = ∫_{-∞}^{a} f(x).dx$ = $∫_{-∞}^{a} \frac{1}{d-c}.dx$ = $∫_{-∞}^{a} \frac{1}{2}.dx$ = $∫_{-∞}^{2} \frac{1}{2}.dx + ∫_{2}^{a} \frac{1}{2}.dx$ = 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