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irga5000 [103]
3 years ago
5

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.
Mathematics
1 answer:
damaskus [11]3 years ago
5 0

Answer:

4.87

Step-by-step 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\times (0.05)\times (1 - 0.05)

After solving the above equation we will get

= 23.75

Now the standard deviation is

= \sqrt{\sigma} \\\\ = \sqrt{23.75}

= 4.873397172

or

= 4.87

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

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