Consider the experiment of rolling 2 dice resulting in the random variable X.X = {the number of fours showing on the dice}. a) Determine all possible values of X and the probability of occurrence for each of thesevalues (i.e., the pmf of X). Assume that the dice are fair. Show your work or justify youranswer. b) Plot the pmf f ( x ) and the CDF F(x) of X. Clearly label all values (on both axes). c) Determine the mean of X. Show your work.

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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Consider the experiment of rolling 2 dice resulting in the random variable X.
X = {the number of fours showing on the dice}.


a) Determine all possible values of X and the probability of occurrence for each of these
values (i.e., the pmf of X). Assume that the dice are fair. Show your work or justify your
answer.


b) Plot the pmf f ( x ) and the CDF F(x) of X. Clearly label all values (on both axes).


c) Determine the mean of X. Show your work.

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