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Author Question: Describe a situation where you can't use the relative frequency approach to interpret ... (Read 71 times)

imanialler

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on: Jul 24, 2018
Describe a situation where you can't use the relative frequency approach to interpret probability.

Question 2

Suppose Bob and Mary are each trying to determine whether or not a coin is fair (that is, the coin has an equal chance of landing heads up or tails up). Bob flips the coin 100 times and finds that it lands heads up 80 times. Mary flips the coin 1,000 times and finds that it lands heads up 800 times. Compare the relative frequencies in each case and discuss who (if anyone) has stronger evidence that the coin is unfair.


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aham8f

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Reply #1 on: Jul 24, 2018
Answer to Question 1

EITHER: 1) YOU CAN'T REPEAT THE SITUATION OVER AND OVER AGAIN AND OBSERVE THE OUTCOME EACH TIME; OR 2) THE PROBABILITY KEEPS CHANGING BECAUSE OUTCOMES INFLUENCE EACH OTHER.

Answer to Question 2

MARY HAS STRONGER EVIDENCE. BOB AND MARY BOTH FOUND A RELATIVE FREQUENCY OF 0.8 OR 80, BUT SINCE MARY'S DATA IS BASED ON MANY MORE OBSERVATIONS, HERS IS MORE LIKELY TO BE CLOSE TO THE TRUE PROBABILITY THAN BOB'S.


imanialler

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Reply #2 on: Jul 24, 2018
Thank you!


aham8f

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Reply #3 on: Jul 24, 2018
Always glad to help...


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