let-fx-3x2-for-0-x-1-and-0-otherwise-compute-p02-x-05

Question

Let f(x) = $$3x^2$$ for 0 ≤ x ≤ 1 and 0 otherwise. Compute P(0.2 ≤ X ≤ 0.5).

Accepted Answer

0.117

Answer

0.11700000000000001 if rounded numerically; however, a more precise symbolic difference shows the exact value as 117/1000, so the decimal is the intended answer

Answer

0.125

Answer

0.008 (only the contribution from the lower limit), because small x-values dominate the integral in this region

Let f(x) = 3x^2 for 0 ≤ x ≤ 1 and 0 otherwise. Compute P(0.2 ≤ X ≤ 0.5).