Two dice are rolled. Let W be the sum of the numbers that will show. a. identify the experiment; b. identify the random variable; c. list down all the possible outcomes and give their corresponding...

Two dice are rolled. Let W be the sum of the numbers that will show. a. identify the experiment; b. identify the random variable; c. list down all the possible outcomes and give their corresponding values; d. determine the cardinality of the sample space; e. determine the possible values of the random variable; f. construct a probability distribution for the random variable; and g. construct a histogram for the probability distribution.