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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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Geometric distributions

AP.STATS: UNC‑3 (EU), UNC‑3.F (LO), UNC‑3.F.1 (EK)
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Problem

Jeremiah makes start fraction, 4, divided by, 5, end fraction 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.
mu, start subscript, F, end subscript, approximately 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
shots
sigma, start subscript, F, end subscript, approximately 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
shots
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