Question

find the mean, $mu$, for the binomial distribution which has the stated values of $n$ and $p$. round answer to the nearest tenth.
$n = 676, p = 0.7$

a. $mu=473.2$
b. $mu = 474.9$
c. $mu=471.7$
d. $mu = 474.5$

Explanation:

Step1: Recall mean formula

The mean $\mu$ of a binomial distribution is given by $\mu = n\times p$.

Step2: Substitute values

Given $n = 676$ and $p=0.7$, we calculate $\mu=676\times0.7$.
$\mu = 473.2$

Answer:

A. $\mu = 473.2$