 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2011/paper-1/12/e/solution

On interrupted outcomes,

r = S - T

; on the other outcomes the sentinel value is negative and cannot exceed

r_{0} > 0

. Consequently

{r > r_{0}} = {s > t + r_{0}, t \geq 0} .

On the diagram in part (b), this is the first-quadrant region below

t = s - r_{0}

, starting at the horizontal intercept

s = r_{0}

. It lies strictly inside the interruption region

t < s

 New to topics? Read the docs here!