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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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Geometric distributions

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Problem

Jeremiah makes 45 of the free throw shots he attempts in basketball. Jeremiah likes to shoot free throws until he misses one. Let F be the number of shots it takes Jeremiah to miss his first free throw. Assume that the results of each shot are independent.
Find the mean and standard deviation of F.
Round your answers to one decimal place.
μF≈
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
shots
σF≈
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
shots