SOLUTION: continuity corrections. estimate the probability of getting 55 girls in 100 births

Question 418363: continuity corrections. estimate the probability of getting 55 girls in 100 births
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
continuity corrections. estimate the probability of getting 55 girls in 100 births
---
I guess you are asked to use a normal approximation to this
binomial probability.
---
Find the z-scores for 54.5 and 55.5 when
u = np = 100(1/2) = 50
sigma = sqrt(npq) = sqrt(50(1/2)) = 5
--------------------------------------------
z(54.5) = (54.5-50)/5 = 0.9
z(55.5) = (55.5-50)/5 = 1.1
P(x = 55) = P(0.9 <= x <= 1.1) = 0.048394..
====================
The binomial answer is 0.048474
========================
Cheers,
Stan H.
RELATED QUESTIONS
Probability of getting at least 65 girls in 100 births (answered by Edwin McCravy)

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)

Assuming that boys and girls are equally likely, estimate the probability of getting more (answered by stanbon)

Using normal approximation, what is an estimation of the probability of getting more than (answered by stanbon)

Find the probability of getting exactly 8 girls in 10... (answered by robertb)

Estimate the probability of getting a baby girl in at least 8 of 15... (answered by richard1234)

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)