SOLUTION: Assuming that boys and girls are equally likely, estimate the probability of getting more than 3600 girls in 6400 births.

Question 289363: Assuming that boys and girls are equally likely, estimate the probability of getting more than 3600 girls in 6400 births.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Assuming that boys and girls are equally likely, estimate the probability of getting more than 3600 girls in 6400 births.
-------
mean = np = (1/2)6400 = 3200
std = sqrt(npq) = sqrt(1600) = 40
------------------------
Find the z-score of 3600
z(3600) = (3600-3200)/40 = 400/40 = 10
---
P(x > 3600) = P(z > 10) = 7.8 x 10^(-24)
==============================================
Cheers,
Stan H.
RELATED QUESTIONS
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 more than 54 girls in 100 (answered by Boreal)

Use normal approximation to estimate the probability of getting less than 48 girls in 100 (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)

If boys and girls are equally likely and groups of 400 births are randomly selected, what (answered by edjones)

When a group of five single births are recorded what is the probability that at least 4... (answered by stanbon)

Probability of a girl; Assuming that boys and girls are equally likely, (.50) find the... (answered by jim_thompson5910)

Assume that male and female births are equally likely and that the birth of any child... (answered by ikleyn)