Question

identify the expression for calculating the mean of a binomial distribution. choose the correct answer below. np √npq ∑x²·p(x) - μ² npq

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 the formula $\mu=np$.

Step2: Analyze other options

$\sqrt{npq}$ is the standard - deviation formula for a binomial distribution where $q = 1 - p$. $\sum[x^{2}\cdot P(x)]-\mu^{2}$ is the formula for the variance of a discrete probability distribution in general form. $npq$ is the variance formula for a binomial distribution.

Answer:

A. $np$