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

Answer:

Step-by-step 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 $\mu =np=910\times 0.04=36.4$

Standard deviation $\sigma =\sqrt{np(1-p)}$

$\sigma =\sqrt{910\times 0.04\times 0.96}$

$\sigma =\sqrt{34.944}$

$\sigma =5.91$