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The mean and standard deviation of the net contribution to the charity in 1,000 plays of the game are $700 and $92.79, respectively. Use the normal distribution to approximate the probability that the charity would obtain a net contribution of at least $500 in 1,000 plays of the game. © 2012 The College Board.
Download free-response questions from past AP Statistics exams, along with scoring guidelines, sample responses from exam takers, and scoring distributions.
Intent of Question. The primary goals of this question were to assess students’ ability to (1) perform calculations and compute expected values related to a discrete probability distribution; (2) implement a normal approximation based on the central limit theorem.
Intent of Question. The primary goals of this question were to assess students’ ability to (1) compare two distributions presented with histograms; (2) comment on the appropriateness of using a two-sample t-procedure in a given setting.
In this in-depth guide to the AP Statistics free-response section, we go over the types of questions you can expect to see, give sample questions with complete answer explanations, explain how you'll be graded, and provide tips to help you ace this section of the exam.
The charity would like to know the probability of obtaining a net contribution of at least $500 in 1,000 plays of the game. The mean and standard deviation of the net contribution to the charity in 1,000 plays of the game are $700 and $92.79, respectively. Use the normal distribution to approximate the probability that the
o The probability that Agatha will receive at least one gift card in a 52-week year is 0.2295, or the value computed in part (a-ii). o The probability that Agatha will fail to receive a gift card for an entire 52-week year is 0.7705, or the complement of the value computed in part (a-ii). o The expected value computed in part (b).
