Question

According to the movie X-men, about 4% of the population in Oxnard has a particular genetic mutation. 910 people are randomly selected. Find the mean ( μ ) and the standard deviation ( σ ) for the number of people with the genetic mutation in such groups of 910.

Answer 1

Explanation:

Given

4 % of the Population has genetic Mutation

Total Population
`n=910`

Probability of a mutant Person is
`p=0.04`

Since n> > p therefore we can write

mean
`\mu =np=910* 0.04=36.4`

Standard deviation
`\sigma =√(np(1-p))`

`\sigma =√(910* 0.04* 0.96)`

`\sigma =√(34.944)`

`\sigma =5.91`