About 5% of the population has a particular genetic mutation. 1000 people are randomly selected.

Find the standard deviation for the number of people with the genetic mutation in such groups of 1000.

Respuesta :

6.892

Step-by-step explanation:

We denote the sample population  of 1000 as n

n = 1000

Since about 5% of the population, from which the sample was taken,  has a particular genetic mutation, then the probability that an individual picked form the sample will have a mutation is;

5/100 = 0.05

To find the standard deviation we use the formulae;

Sqrt (n * p * (1 – p ))

Sqrt (1000 * 0.05 * 0.95) = sqrt (47.5)

= 6.892

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