2002, Question 3 · 4 points

Relay team mile times

Use normal models for four runners to judge whether one runner's goal time is likely, then find the mean and spread of the team total and the chance of beating a past best.

This exam had six free-response questions, each scored from 0 to 4. Its Question 6, the Investigative Task, is no longer part of the exam. The current exam has 4 free-response questions in 90 minutes. The skills these questions practice still count.

Not in the current course. Parts (b) and (c) need the mean and standard deviation of a sum of independent random variables, and combining random variables is no longer in the current course.

1 Read the question

The question is College Board's, from the 2002 exam. It starts on page 7 of the PDF. College Board no longer posts this exam, so it opens from the copy of College Board's PDF that the Internet Archive saved on April 19, 2025.

Open Question 3 (PDF, page 7)

2 Write your answer

Answer each part the way you would on the exam, in full sentences, with your work shown. Your writing saves as you type.

3 Score it

Score your answer against College Board's scoring guidelines, one point at a time. Give yourself a point only when your answer says what the guideline asks for.

Scoring guidelines (PDF, page 7) What the exam readers saw (Student Performance Q&A)

Question, scoring guidelines and Chief Reader report: College Board, from the Internet Archive. The title, summary are ours.