Question

identify the expression for calculating the mean of a binomial distribution. choose the correct answer below. $sumx^{2}cdot p(x)-mu^{2}$ npq $sqrt{npq}$ np

Explanation:

Step1: Recall binomial distribution mean formula

The mean $\mu$ of a binomial distribution with parameters $n$ (number of trials) and $p$ (probability of success in a single - trial) is given by a well - known formula.
The formula for the mean of a binomial distribution is $\mu = np$.
The formula $\sum[x^{2}\cdot P(x)]-\mu^{2}$ is for the variance of a discrete probability distribution. The formula $npq$ is for the variance of a binomial distribution ($q = 1 - p$), and $\sqrt{npq}$ is for the standard deviation of a binomial distribution.

Answer:

D. np