A call to Northfield Credit is answered after a wait X that is uniform on [0, 20] minutes. Compute P(X > 15), the probability a caller waits more than 15 minutes. Tolerance 0.
A call to Northfield Credit is answered after a wait X that is uniform on [0, 20] minutes. Compute P(X > 15), the probability a caller waits more than 15 minutes. Tolerance 0.
Answer
0.25
Cells - P(X > 15) · ±0 The density is a rectangle of height 1/20 = 0.05. P(X > 15) is the area of the strip from 15 to 20: width × height = 5 × 0.05 = 0.25. Equivalently 1 − F(15) = 1 − 0.75.
IBS1 §5.1 (continuous distributions, area as probability, the uniform as the first example), CC BY 4.0 — shape only; original dataset