Let X₁, … … …‚ X„ be an independent trials process with common expected value 3 and common variance 12. What is the exact value of the expected value of the average An? What is the variance of the average An? Your formula should have n. According to the Chebyshev inequality, P(|An – 3| ≥ 0.1) ≤ (your formula should have n) Using your bound from the Chebyshev inequality, how many trials are needed so that P(An3|≥ 0.1) < 0.91? If you get an answer like # (see the note below here) round it up to the next whole number: n123.8, Your response: 124
Let X₁, … … …‚ X„ be an independent trials process with common expected value 3 and common variance 12. What is the exact value of the expected value of the average An? What is the variance of the average An? Your formula should have n. According to the Chebyshev inequality, P(|An – 3| ≥ 0.1) ≤ (your formula should have n) Using your bound from the Chebyshev inequality, how many trials are needed so that P(An3|≥ 0.1) < 0.91? If you get an answer like # (see the note below here) round it up to the next whole number: n123.8, Your response: 124
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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