2022, Question 3 · Focus on Probability and Sampling Distributions · 4 points

Shampoo bottle fills and crate rejection

Use a normal model to find the chance a bottle is underfilled, set up a binomial count of underfilled bottles in a box of ten to find the chance a crate is rejected, and compare two machine settings.

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.

1 Read the question

The question is College Board's, from the 2022 exam. It starts on page 8 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 May 11, 2026.

Open Question 3 (PDF, page 8)

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 13) What the exam readers saw (Chief Reader report)

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