Final answer:
In a binomial distribution, x represents the number of successes obtained in n independent trials, while in a geometric distribution, x represents the number of independent trials until the first success.
Step-by-step explanation:
The difference between the value of x in a binomial distribution and in a geometric distribution lies in the way the distributions are defined and used.
In a binomial distribution, x represents the number of successes obtained in n independent trials, where each trial has the same probability of success, denoted by p.
In a geometric distribution, x represents the number of independent trials until the first success, where each trial has the same probability of success, denoted by p.
So, even though both distributions involve the concept of repeated trials with success and failure outcomes, the interpretation of x differs. In the binomial distribution, x represents the number of successes obtained, while in the geometric distribution, x represents the number of trials until the first success.