1 / 18

Warm-up 5.1 Introduction to Probability

Warm-up 5.1 Introduction to Probability. 1) 2) 3) 4). Student of the day! Block 1. Student of the day! Block 2. Discussion on Reading and 5.1 D1 to D4. 5.1 Introduction to Probability. Unit 3 - Probability. Probability: Ch. 5, 6 and 7 Inference: 7 - 12. Probability Distribution.

bree-jimenez
Download Presentation

Warm-up 5.1 Introduction to Probability

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. Warm-up5.1 Introduction to Probability 1) 2) 3) 4)

  2. Student of the day!Block 1

  3. Student of the day!Block 2

  4. Discussion on Reading and 5.1 D1 to D4

  5. 5.1 Introduction to Probability

  6. Unit 3 - Probability Probability: Ch. 5, 6 and 7 Inference: 7 - 12

  7. Probability Distribution Suppose we want to list the sample space of the result of the number of tails from flipping two coins . If we include the probabilities it is considered a probability distribution. The complement of any event is 1 – P(event). What is the probability of not getting TT or what P( TTc )?

  8. Multiplication Counting Principle The two spinners are mutually exclusive (independent events). Multiplication (Counting) Principle states that by multiplying the possible outcomes in each category, we can find the total number of possible arrangements.

  9. Law of Large Numbers Let’s say you suspect your friend has unfair die. How would you actually find out if the die is weighted unequally?

  10. Conducting a Probability Simulation The Steps in a Simulation That Uses Random Digits • Assumptions. State the assumptions you are making about how the real-life situation works. Include any doubts you might have about the validity of your assumptions. • Model. Describe how you will use random digits to conduct one run of a simulation of the situation. Make a table that shows how you will assign a digit (or a group of digits) to represent each possible outcome. (You can disregard some digits.) Explain how you will use the digits to model the real-life situation. Tell what constitutes a single run and what summary statistic you will record. 3. Repetition. Run the simulation a large number of times, recording the results in a frequency table. You can stop when the distribution doesn’t change to any significant degree when new results are included. 4. Conclusion.Write a conclusion in the context of the situation. Be sure to say that you have an estimated probability

  11. Westvaco Example pg 302 The ages of the ten hourly workers involved in Round 2 of the layoffs were 25, 33, 35, 38, 48, 55, 55, 55, 56, and 64. The ages of the three workers who were laid off were 55, 55, and 64, with average age 58. Use simulation with random digits to estimate the probability that three workers selected at random for layoff would have an average age of 58 or more. Assumptions

  12. Westvaco Simulation Continued… Model:

  13. Repetition with Random Number Generator • Work with a partner. • Use the random number generator to select 3 workers, find their average age write it down. • Complete this simulation 5 times. • Record your results on the classroom dotplot.

  14. Using a Random # Table

  15. Homework • 5.1 P#8, 9, E#4, 8 and 9 • Read 5.2 and 5.3

More Related