Twenty percent of the students in a class of 100 are planning to go to graduate school. the standard deviation of this binomial distribution is

The standard deviation of this binomial distribution is 4 if twenty percent of the students in a class of 100 are planning to go to graduate school

The formula for finding the standard deviation of this binomial distribution is;

n is the sample size

p is the percentage of students in the class

Given the following parameters

n = 100

p = 20% = 0.2

Substitute the given parameters into the formula

Hence the standard deviation of this binomial distribution is 4

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4

Step-by-step explanation:

For any binomial variable X having parameters n (total number of trials ) and p (probability of getting success in each event), the standard deviation is given by :-

As per given , we have

n= 100 , p= 20%=0.20

Then, the standard deviation of this binomial distribution is :

Hence, the  standard deviation of this binomial distribution is 4.

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.