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.

Respuesta :

Answer:

Step-by-step explanation:

Given

4 % of the Population has genetic Mutation

Total Population [tex]n=910[/tex]

Probability of a mutant Person is [tex]p=0.04[/tex]

Since n> > p therefore we can write

mean [tex]\mu =np=910\times 0.04=36.4[/tex]

Standard deviation [tex]\sigma =\sqrt{np(1-p)}[/tex]

[tex]\sigma =\sqrt{910\times 0.04\times 0.96}[/tex]

[tex]\sigma =\sqrt{34.944}[/tex]

[tex]\sigma =5.91[/tex]