Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n=70, p=0.4

Step 1 ：Given values are n=70 and p=0.4.

Step 2 ：The mean, variance, and standard deviation of a binomial distribution can be calculated using the following formulas:

Step 3 ：Mean (μ) = n*p

Step 4 ：Variance (σ^2) = n*p*(1-p)

Step 5 ：Standard Deviation (σ) = sqrt(n*p*(1-p))

Step 6 ：Substitute the given values into the formulas:

Step 7 ：Mean = 70*0.4 = 28.0

Step 8 ：Variance = 70*0.4*(1-0.4) = 16.8

Step 9 ：Standard Deviation = sqrt(70*0.4*(1-0.4)) = 4.09878030638384

Step 10 ：Final Answer: The mean of the binomial distribution is \(\boxed{28.0}\), the variance is \(\boxed{16.8}\), and the standard deviation is approximately \(\boxed{4.10}\).