1 / 5

Section 5.3 – Simulations

Learn how simulations help estimate long-run outcomes in experiments using theoretical probabilities. See examples involving random number assignments in games of chance and sports statistics.

elvisf
Download Presentation

Section 5.3 – Simulations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Section 5.3 – Simulations

  2. What is a simulation? • A simulation is a mock trial of an experiment without doing the experiment. It uses theoretical probabilities to assign events to outcomes. The repetition of many trial is used to estimate long run outcomes or experimental probabilities.

  3. Example #3: Book Problem, 5.69 • A certain game of chance is based on randomly selecting 3 numbers from 00 to 99, (allowing repetitions), and adding the numbers. A person wins the game if the resulting sum is a multiple of 5. • Describe your scheme for assigning random numbers to outcomes in this game. • Run a simulation to estimate the proportion of times a person wins the game in 30 trials.

  4. Example #1: Book Problem, 5.71 • Suppose a major league baseball player has a current batting average of .320. • Describe an assignment of random numbers to possible results in order to simulate the player’s next 20 at bats. • Carry out the simulation for 20 repetitions, and report your results. What is the relative frequency of hits that the player gets. • How does your experimental answer compare to the actual batting average?

  5. Homework • 5.71

More Related