Question

Find the​ mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n equals 70 ​, p equals 0.3 The​ mean, mu ​, is nothing . ​(Round to the nearest tenth as​ needed.)

Answer 1

Given
n = 70
p = 0.3

We know that for a binomial distribution

Mean
$\mu = n \times p = 70 \times 0.3 = 21$
Variance
$\sigma^2 = n \times p \times(1-p) = 70 \times 0.3 \times 0.7 = 14.7$
Standard deviation
$\sigma = \sqrt{n \times p \times(1-p)} = \sqrt{14.7}=3.83$