Question

identify the expression for calculating the mean of a binomial distribution. choose the correct answer below.

np

\sqrt { npq }

npq

\sum x ^ { 2 } \cdot p ( x ) - \mu ^ { 2 }

Explanation:

Step1: Recall binomial distribution formula

The mean formula for binomial distribution is $\mu = np$, where $n$ is the number of trials and $p$ is the probability of success.

Step2: Analyze other options

• $\sqrt{npq}$ is the formula for the standard deviation of a binomial distribution.
• $npq$ is not a standard measure (mean, variance, or standard deviation) for binomial distribution.
• $\sum[x^{2}\cdot P(x)]-\mu^{2}$ is the formula for variance in general discrete probability distribution (not specific to binomial).

Answer:

np