n.二项式，双名词组(由and连接的一对名词，两个名词的前后顺序不变，如knife and fork)
adj.二项的，二项式的

The binomial distribution is commonly used in statistics to model the number of successes in a fixed number of trials, like flipping a coin 10 times.
二项分布常用于统计学中，描述在固定次数的试验中成功的情况，比如抛硬币10次。
The probability of getting exactly 5 heads in 10 coin flips follows a binomial distribution with n=10 and p=0.5.
(在10次掷硬币中恰好得到5次正面的概率遵循二项分布，n=10，p=0.5。
In a binomial experiment, the probability of success remains constant throughout each trial.
在二项实验中，每次试验的成功概率保持不变。
The binomial theorem helps expand expressions like (a + b)^10 efficiently.
二项定理有助于快速展开像(a + b)^10这样的表达式。
The binomial coefficient, C(10, 5), represents the number of ways to choose 5 items from a set of 10 without regard to order.
组合数C(10, 5)表示从10个物品中无序选择5个的方法数量。
The cumulative distribution function (CDF) for a binomial distribution calculates the probability of getting k or fewer successes in n trials.
二项分布的累积分布函数(CDF)计算在n次试验中得到k次或更少成功的概率。
In biology, the Hardy-Weinberg principle uses binomial calculations to predict genetic variation in a population.
在生物学中，哈代-温伯格定律利用二项计算预测种群中的遗传变异。
A company's stock price movement can be modeled using a binomial model, assuming it follows a binary pattern of increase or decrease.
公司的股价变动可以使用二项模型来模拟，假设它遵循增加或减少的二元模式。
The binomial expansion of (x+y)^10 simplifies to a sum of terms, each containing a binomial coefficient and powers of x and y.
(x+y)^10的二项展开简化为一系列项，每个项都包含一个组合系数和x、y的幂次。
A student's grade on a test can be considered a binomial random variable, with the probability of success being the chance of getting a question right.
学生在考试中的分数可以视为二项随机变量，成功的概率是答对一个问题的概率。