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AP®︎/College Statistics

Course: AP®︎/College Statistics > Unit 7

Lesson 1: Estimating probabilities using simulation
Math
AP®︎/College Statistics
Probability
Estimating probabilities using simulation
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Interpret results of simulations

Google Classroom

Problem

The probability that Maria succeeds at any given free-throw is 75, percent. She was curious how many free-throws she can expect to succeed in a sample of 10 free-throws.
She simulated 25 samples of 10 free-throws where each free-throw had a 0, point, 75 probability of being a success.
Maria counted how many free-throws were successes in each simulated sample. Here are her results:
Use her results to estimate the probability that she succeeds at fewer than 7 free-throws in a sample of 10 free-throws.
Give your answer as either a fraction or a decimal.
P, left parenthesis, start text, f, e, w, e, r, space, t, h, a, n, space, end text, 7, start text, space, s, u, c, c, e, s, s, e, s, end text, right parenthesis, 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
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