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...

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Experimental Probability and Simulation

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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
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

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

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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)
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

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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
• Fall '19
• average number

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