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3 years ago

About 3% of the population has a particular genetic mutation. 600 people are randomly selected.

Mathematics

1 answer:

Annette [7]3 years ago

8 0

Answer:

Standard deviation for the number of people with the genetic mutation = 4.178

Step-by-step explanation:

Explanation:-

Given random sample size 'n' =600

proportion of the Population 'p'=3% or 0.03

Let 'X' be the random variable in binomial distribution

Mean of the binomial distribution

μ = n p

= 600 X 0.03

= 18

Mean of the binomial distribution ' μ ' =18

Standard deviation of the binomial distribution

σ = $\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178$

Conclusion:-

Standard deviation for the number of people with the genetic mutation = 4.178

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