The random variable X can take on the values 2, 4 and 6, and the random variable Y can take on the values 2, 6 and 10. Their joint probability distribution is given by the following table: Y 2 6 10 X 2 0.10 0.05 0.10 4 0.10 0.15 0.25 6 0.10 0.10 0.05 a. Describe in words and notation the event that has probability 0.25 in the table. b. Calculate the marginal distribution of X. c. Calculate ?ሺ? ൒ 4ሻ. d. Calculate the population mean of X. e. Calculate the conditional distribution of Y given X=2. f. Calculate E(Y|X=2).

The random variable X can take on the values 2, 4 and 6, and the random variable Y can take on the values 2, 6 and 10. Their joint probability distribution is given by the following table: Y 2 6 10 X 2 0.10 0.05 0.10 4 0.10 0.15 0.25 6 0.10 0.10 0.05 a. Describe in words and notation the event that has probability 0.25 in the table. b. Calculate the marginal distribution of X. c. Calculate ?ሺ? ൒ 4ሻ. d. Calculate the population mean of X. e. Calculate the conditional distribution of Y given X=2. f. Calculate E(Y|X=2).

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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