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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 disease?

Answer :

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

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