Question

GooglChrearFind the mean variance, and standard deviation of the binomial distribution with the given values of n andn=60, p=0.5The mean is 30' (Round to the nearest tenth as needed)HPConnec The variance, 62.is (Round to the nearest tenth as needed)10वHP SmaFriendTane

Answer 1

For a binomial distribution like the one you have here, the mean can be calculated by means of the following equation:

mean = n×p

Where n and p are given

The variance can be calculated with the following formula:

var = np(1 - p)

And the standard deviation is given by the following formula:

std = √var

By replacing 60 for n and 0.3 for p, we get:

mean = 0.5×60 = 30

Similarly, for the variance:

var = 60×0.5×(1 - 0.5) = 30×(0.5) = 15

By replacing 15 for var, we get:

std = √var = √15 ≈ 3.9

Summary

Mean = 30

variance = 15

standard deviation = 3.9