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5.46 Probability and coin flips: Short-run proportions are often quite different from long-run probabilities. a. In your own words, explain why we would proportions to fluctuate in the short run, but why long-run probabilities are more predictable. b. What is the expected long-run probability of heads if a person flips a coin many, many times? Why? c. Flip a coin 10 times in a row. What proportion is heads? Do this 5 times. Note: You will learn more by actually doing it, so don't just write down numbers! еxpect Proportion for the first 10 flips: Proportion for the second 10 flips: Proportion for the third 10 flips: Proportion for the fourth 10 flips: Proportion for the fifth 10 flips: d. Do the proportions in part (c) match the expected long-run probability in part (b)? Why or why not? e. Imagine that a friend flipped a coin 10 times, got 9 out of 10 heads, and complained that the coin was biased. How would vou explain to your friend the difference between short-term and long-term probability?

5.46 Probability and coin flips: Short-run proportions are often quite different from long-run probabilities. a. In your own words, explain why we would proportions to fluctuate in the short run, but why long-run probabilities are more predictable. b. What is the expected long-run probability of heads if a person flips a coin many, many times? Why? c. Flip a coin 10 times in a row. What proportion is heads? Do this 5 times. Note: You will learn more by actually doing it, so don't just write down numbers! еxpect Proportion for the first 10 flips: Proportion for the second 10 flips: Proportion for the third 10 flips: Proportion for the fourth 10 flips: Proportion for the fifth 10 flips: d. Do the proportions in part (c) match the expected long-run probability in part (b)? Why or why not? e. Imagine that a friend flipped a coin 10 times, got 9 out of 10 heads, and complained that the coin was biased. How would vou explain to your friend the difference between short-term and long-term probability?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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5.46 Probability and coin flips: Short-run proportions are often quite different from long-run probabilities. own words, explain why we would expect a. In your proportions to fluctuate in the short run, but why long-run probabilities are more predictable. b. What is the expected long-run probability of heads if a person flips a coin many, many times? Why? c. Flip a coin 10 times in a row. What proportion is heads? Do this 5 times. Note: You will learn more by actually doing it, so don't just write down numbers! Proportion for the first 10 flips: Proportion for the second 10 fAips: Proportion for the third 10 Hips: Proportion for the fourth 10 Hips: Proportion for the fifth 10 flips: d. Do the proportions in part (c) match the expected long-run probability in part (b)? Why or why not? c. Imagine that a friend flipped a coin 10 times, got 9 out of 10 heads, and complained that the coin was biased. llow would you explain to your friend the difference between short-term and long-term probability?
Transcribed Image Text:5.46 Probability and coin flips: Short-run proportions are often quite different from long-run probabilities. own words, explain why we would expect a. In your proportions to fluctuate in the short run, but why long-run probabilities are more predictable. b. What is the expected long-run probability of heads if a person flips a coin many, many times? Why? c. Flip a coin 10 times in a row. What proportion is heads? Do this 5 times. Note: You will learn more by actually doing it, so don't just write down numbers! Proportion for the first 10 flips: Proportion for the second 10 fAips: Proportion for the third 10 Hips: Proportion for the fourth 10 Hips: Proportion for the fifth 10 flips: d. Do the proportions in part (c) match the expected long-run probability in part (b)? Why or why not? c. Imagine that a friend flipped a coin 10 times, got 9 out of 10 heads, and complained that the coin was biased. llow would you explain to your friend the difference between short-term and long-term probability?
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