SOLUTION: If boys and girls are equally likely and groups of 400 births are randomly selected. Find the standard deviation of the numbers of girls in such groups of 400.
Algebra.Com
Question 628465: If boys and girls are equally likely and groups of 400 births are randomly selected. Find the standard deviation of the numbers of girls in such groups of 400.
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
This sounds like a binomial distribution problem.
Standard deviation:
sigma = sqrt(n*p*(1-p))
sigma = sqrt(400*0.5*(1-0.5))
sigma = 10
So the standard deviation is 10.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If boys and girls are equally likely and groups of 400 births are randomly selected. Find the standard deviation of the numbers of girls in such groups of 400.
----
std = sqrt[npq] = sqrt[400(1/2)(1/2) = sqrt(100) = 10
===========================
Cheers,
Stan H.
===================
RELATED QUESTIONS
If boys and girls are equally likely and groups of 400 births are randomly selected, what (answered by edjones)
Assuming that boys and girls are equally likely, estimate the probability of getting more (answered by stanbon)
Find the probability of at least 2 girls in 8 births. Assume that male and female births... (answered by jorel1380)
find the probability of at exactly 2 girls in 10 births. assume that males and females... (answered by ewatrrr)
Using normal approximation, what is an estimation of the probability of getting more than (answered by stanbon)
Use normal approximation to estimate the probability of getting less than 48 girls in 100 (answered by stanbon)
Use normal approximation to estimate the probability of getting more than 54 girls in 100 (answered by Boreal)
Find the probability of exactly three boys in five births. Assume that male and female... (answered by oscargut)
The random variable x represents the number of boys in a family of three children.... (answered by Fombitz)