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4.2 Exercise 5

Avg difficulty 2.5
  1. Sixty-five percent of people pass the state driver’s exam on the first try. A group of 50 individuals who have taken the driver’s exam is randomly selected. Give two reasons why this is a binomial problem.
  2. During a certain NBA season, a player for the Los Angeles Clippers had the highest field goal completion rate in the league. This player scored with 61.3% of his shots. Suppose you choose a random sample of 80 shots made by this player during the season. Let X = the number of shots that scored points.
    1. What is the probability distribution for X?
    2. Using the formulas, calculate the (i) mean and (ii) standard deviation of X.
    3. Find the probability that this player scored with 60 of these shots.
    4. Find the probability that this player scored with more than 50 of these shots.

OpenStax Introductory Business Statistics 2e, 4.2 Binomial Distribution, exercise 5

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Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.