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AP®︎/College Statistics

Course: AP®︎/College Statistics > Unit 8

Lesson 7: The geometric distribution
Math
AP®︎/College Statistics
Random variables and probability distributions
The geometric distribution
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Cumulative geometric probability

AP.STATS: UNC‑3 (EU), UNC‑3.E (LO), UNC‑3.E.2 (EK)
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Problem

Jeremiah makes 25, percent of the three-point shots he attempts. For a warm up, Jeremiah likes to shoot three-point shots until he makes one. Let M be the number of shots it takes Jeremiah to make his first three-point shot. Assume that the results of each shot are independent.
Find the probability that it takes Jeremiah fewer than 4 attempts to make his first shot.
You may round your answer to the nearest hundredth.
P, left parenthesis, M, is less than, 4, right parenthesis, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
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