Answer: The required probability distribution is BINOMIAL DISTRIBUTION.
Step-by-step explanation: We are given to state the probability distribution that meets the following requirements :
1) the procedure has a fixed number of trials;
2) the trial must be independent;
3) each trial must have all outcomes classified into two categories;
4) the probability of a success remains the same in all trials
The given requirements are fulfilled by only one type of probability distribution, that is BINOMIAL DISTRIBUTION.
Only the Binomial Distribution has a fixed number of independent trials, each trial has only two possible outcomes (success and failure) and the probability of success remains same in all trials.
Thus, the required probability distribution is BINOMIAL DISTRIBUTION.