At a large university, 55 percent of the students are undergraduates and 45 percent are graduate students. Of the undergraduates, 38 percent own a car, and of the graduate students, 61 percent own a car. A student is selected at random and is found to own a car. Which of the following is closest to the probability that the student is a graduate student?
probability rules: simulation, addition and conditional
Review probability rules: simulation, addition and conditional for AP Statistics and try 2 free AP-style practice questions. 22 questions on this topic in AP Statistics · Unit 4 · Probability, Random Variables, and Probability Distributions.
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A student's performance on a second exam is related to her performance on the first. The probability that she passes Exam 1 is 0.70. If she passes Exam 1, the probability that she passes Exam 2 is 0.80, and if she fails Exam 1, the probability that she passes Exam 2 is 0.50. Are passing the two exams independent events, and what is the probability that she passes Exam 2?
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Answer, then see why
The price of gasoline rises 10% and the quantity demanded falls 5%. What happens to total revenue?
Not quite. The answer is B.
Why the other options are wrong
AI grading for free-response
Write your FRQ answer and get it scored point by point against the AP rubric, with the line from your answer that earned or missed each point.
Question 13 / 4 pts
Part a1 / 1 pts
Point 1: Earned
Grader confidence 94% sureReason: Correctly identifies demand for gasoline as inelastic.
Evidence: "The price of gasoline rises and the quantity falls only a little."
Part b2 / 3 pts
Point 1: Earned
Grader confidence 91% sureReason: Graph shows relatively inelastic demand.
Evidence: Draws a steep demand curve.
Point 2: Earned
Grader confidence 88% sureReason: Correct new equilibrium price.
Evidence: Shifts supply left, P1 → P2.
Point 3: Not earned
Grader confidence 82% sureReason: With inelastic demand, a price increase raises total revenue.
Evidence: "Revenue goes down."