Mathematical Methods · continuous RVs · manipulative

Probability is area under the pdf

Shade [a, b] on a continuous density — the probability is the shaded area.

f(x) P(a ≤ X ≤ b)

Exponential density f(x) = λe−λx (x ≥ 0) — total area equals 1

Interval

0.5
2.5

Working