The p.d.f. is g(t) = 6t(1 - t) for 0 ≤ t ≤ 1. Find the probability that the measurement is between 0.5 and 0.8.
Find the probability in two ways:
a. By integrating the given p.d.f.
b. By using the c.d.f.
Make sure that your answers match. Shade the given areas on a graph of the p.d.f.