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4. (a) Let X be a random variable with mean 10 and variance 25. Can you conclude that the probability P(5 < X < 15) is greater than 70 percent? If you can, give a proof. If you cannot, give a counterexample. (b) Let X be a random variable with mean 50 and variance 36. Can you conclude that the probability P(38 < X < 72) is greater than 70 percent? If you can, give a proof. If you cannot, give a counterexample.

4. (a) Let X be a random variable with mean 10 and variance 25. Can you conclude that the probability P(5 < X < 15) is greater than 70 percent? If you can, give a proof. If you cannot, give a counterexample. (b) Let X be a random variable with mean 50 and variance 36. Can you conclude that the probability P(38 < X < 72) is greater than 70 percent? If you can, give a proof. If you cannot, give a counterexample.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Probability

4. (a) Let X be a random variable with mean 10 and variance 25. Can you conclude that the probability P(5 < X < 15) is greater than 70 percent? If you can, give a proof. If you cannot, give a counterexample. (b) Let X be a random variable with mean 50 and variance 36. Can you conclude that the probability P(38 < X < 72) is greater than 70 percent? If you can, give a proof. If you cannot, give a counterexample.
Transcribed Image Text:4. (a) Let X be a random variable with mean 10 and variance 25. Can you conclude that the probability P(5 < X < 15) is greater than 70 percent? If you can, give a proof. If you cannot, give a counterexample. (b) Let X be a random variable with mean 50 and variance 36. Can you conclude that the probability P(38 < X < 72) is greater than 70 percent? If you can, give a proof. If you cannot, give a counterexample.
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