Consider a random variable Y with a mean of 10 and a variance of 6. a) Using Tchebysheff’s theorem, determine a lower bound for P(7 < Y < 13). b) Assume Y has a binomial distribution with n = 25 and p = .4, compute P(7 < Y < 13), and compare the result to part a.

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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Consider a random variable Y with a mean of 10 and a variance of 6. a) Using Tchebysheff’s theorem, determine a lower bound for P(7 < Y < 13). b) Assume Y has a binomial distribution with n = 25 and p = .4, compute P(7 < Y < 13), and compare the result to part a.
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