Question

Individuals who have a certain gene have a 0.46 probability of contracting a certain disease. Suppose that 913 individuals with the gene participate in a lifetime study. What is the standard deviation of the number of people who eventually contract the disea

Answer 1

Answer: 15.06

Explanation:

Given : The number of individuals participated in a lifetime study :
`n=913`

The probability of individuals with certain gene of contracting a certain disease :
`p= 0.46`

Now, the standard deviation of the number of people who eventually contract the disease is given by :_

`\sigma =√(np(1-p))\\\\=√(913*0.46(1-0.46))=15.059521904\approx15.06`

Hence, the the standard deviation of the number of people who eventually contract the disease = 15.06