Answer:
Hence Mean ,variance ,standard deviation who are foreign born are as
8, 6.83 ,2.613 respectively
Step-by-step explanation:
Given:
probability of success for foreign-born is 13.1 % p=0.131
probability of failure= q=1-0.131=0.869
n=60
To Find:
Mean ,variance and standard deviation
Solution:
We have here binomial distribution as probability for success (p)and number of trails are given (n).
So we know that formula for mean ,variance and standard deviation of binomial distribution are as follows ,
p=0.131
q=0.869
n=60
So Mean=μ= n*p
=60*0.131
=7.86
Hence mean will be 7.86 which approximately 8 persons.
Now for Variance=n*p*q
=60*0.131*0.869
=6.830
So variance will be 6.83
And for Standard deviation=Sqrt(variance)=Sqrt(n*p*q)
=Sqrt(6.83)
=2.613
Hence Mean ,variance ,standard deviation who are foreign born are as
8, 6.83 ,2.613 respectively.
