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Paladinen [302]
3 years ago
10

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:

<em>Standard deviation  for the number of people with the genetic mutation = 4.178</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

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

<em>Mean of the  binomial distribution ' μ ' =18</em>

<em>Standard deviation of the binomial distribution</em>

<em>                                 σ = </em>\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178

<u><em>Conclusion:</em></u><em>-</em>

<em>Standard deviation  for the number of people with the genetic mutation = 4.178</em>

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