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.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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