Experimental-Probability-and-Simulation.pptx - Experimental Probability and Simulation Simulation A simulation imitates a real situation Is supposed to

Experimental-Probability-and-Simulation.pptx - Experimental...

This preview shows page 1 - 9 out of 20 pages.

Experimental Probability and Simulation
Image of page 1

Subscribe to view the full document.

A simulation imitates a real situation Is supposed to give similar results And so acts as a predictor of what should actually happen It is a model in which repeated experiments are carried out for the purpose of estimating in real life Simulation
Image of page 2
Used to solve problems using experiments when it is difficult to calculate theoretically Often involves either the calculation of: The long-run relative frequency of an event happening The average number of ‘visits’ taken to a ‘full-set’ Often have to make assumptions about situations being simulated. E.g. there is an equal chance of producing a boy or a girl
Image of page 3

Subscribe to view the full document.

Maths online Simulating tossing a fair coin
Image of page 4
AC/on RUN <Exe> OPTN F6 PROB Ran# Random Numbers on Casio fx-9750G PLUS
Image of page 5

Subscribe to view the full document.

1. To Simulate tossing of a coin Ran# Heads: 0.000 000 -0.499 999 Tails: 0.500 000 – 0.999 999 2. To simulate LOTTO balls 1+40Ran#, truncate the result to 0 d.p., or 0.5+40Ran#, truncate the result to 0 d.p. Random Numbers (some ideas)
Image of page 6
3. To simulate an event which has 14% chance of success 100Ran#, truncate the result to 0 d.p. 0 – 13 for success, 14-99 for failure, or 1+100Ran#, truncate the result to 0 d.p. 1-14 for success, 15-100 for failure Random Numbers
Image of page 7

Subscribe to view the full document.

Assume each day has equal probability (1/7) Use spreadsheet function RANDBETWEEN(1,7) Generate 4 random numbers to simulate one family Repeat large number of times Eg: Simulate probability that 4 members of a family were each born on a different day Day of the week Random Number Sunday 1 Monday 2 Tuesday 3 Wednesd ay 4 Thursday 5 Friday 6 Saturday 7 Microsoft Office Excel Chart
Image of page 8
Image of page 9
  • Fall '19
  • average number

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes