List the characteristics of a multinomial experiment. (select all that apply.) its mean is 0 and its standard deviation is 1. the trials are independent. the outcome of each trial falls into one of k categories. we are interested in x, the number of successes observed during the n trials. the experiment contains m successes and n − m failures. the number of successes is evenly distributed over all k categories. we are interested in x, the number of events that occur in a period of time or space. the experiment consists of n identical trials. the probability that the outcome of a single trial falls between two categories is equal to the area under the curve between those categories. the experimenter counts the observed number of outcomes in each category. each trial results in one of only two possible outcomes. the probability that the outcome of a single trial falls into a particular category remains constant from trial to trial. the probability that the outcome of a single trial falls between two categories is equal to the area under the curve between those categories. we are interested in x, the number of successes observed during the n trials. the experimenter counts the observed number of outcomes in each category. each trial results in one of only two possible outcomes.