Question

About 5% of the population has a particular genetic mutation. 500 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 500.

Answer 1

4.87

Explanation:

According to the given situation, for calculation of standard deviation for the number of people first we need to calculate the variance which is shown below:-

Variance is

`np(1 - p)\\\\ = 500* (0.05)* (1 - 0.05)`

After solving the above equation we will get

= 23.75

Now the standard deviation is

`= √(\sigma) \\\\ = √(23.75)`

= 4.873397172

or

= 4.87

Therefore for computing the standard variation we simply applied the above formula.