Answer: 15.06
Step-by-step explanation:
Given : The number of individuals participated in a lifetime study :[tex]n=913[/tex]
The probability of individuals with certain gene of contracting a certain disease :[tex]p= 0.46[/tex]
Now, the standard deviation of the number of people who eventually contract the disease is given by :_
[tex]\sigma =\sqrt{np(1-p)}\\\\=\sqrt{913\times0.46(1-0.46)}=15.059521904\approx15.06[/tex]
Hence, the the standard deviation of the number of people who eventually contract the disease = 15.06