Problem 7.5. You repeatedly and independently spin a uniform spinner with three colored regions: yellow, blue, and red. After 1800 spins, you tally the number of times your spinner landed on red. Independently from the spinner, you randomly extract balls from an urn containing 7 teal and 21 beige balls with replacement. After 1000 extractions, you tally the number of times a teal ball was extracted. What is the variance of the difference between the number of times your spinner landed on red and the number of times a teal ball was extracted?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 7.5.
You repeatedly and independently spin a uniform spinner with three
colored regions: yellow, blue, and red. After 1800 spins, you tally the number of times your
spinner landed on red.
Independently from the spinner, you randomly extract balls from an urn containing 7 teal
and 21 beige balls with replacement. After 1000 extractions, you tally the number of times a
teal ball was extracted.
What is the variance of the difference between the number of times your spinner landed on
red and the number of times a teal ball was extracted?
Transcribed Image Text:Problem 7.5. You repeatedly and independently spin a uniform spinner with three colored regions: yellow, blue, and red. After 1800 spins, you tally the number of times your spinner landed on red. Independently from the spinner, you randomly extract balls from an urn containing 7 teal and 21 beige balls with replacement. After 1000 extractions, you tally the number of times a teal ball was extracted. What is the variance of the difference between the number of times your spinner landed on red and the number of times a teal ball was extracted?
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