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Statistics and probability

Course: Statistics and probability > Unit 9

Lesson 7: Geometric random variables
Math
Statistics and probability
Random variables
Geometric random variables
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Cumulative geometric probability

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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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