Question

find the mean, μ, 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. μ = 471.7
b. μ = 474.5
c. μ = 473.2
d. μ = 474.9

Explanation:

Step1: Recall mean formula

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

Step2: Substitute values

Substitute $n = 676$ and $p=0.7$ into the formula: $\mu=676\times0.7$.

Step3: Calculate result

$676\times0.7 = 473.2$.

Answer:

C. $\mu = 473.2$