If the probability of a newborn child being female is 0.5, find the probability that in 100 births, 55 or more will be female. Use the normal distribution to approximate the binomial distribution.
A)0.1841
B)0.7967
C)0.8159
D)0.0606

Question

Quizplus · Accepted Answer

The probability of 55 or more females in 100 births can be approximated by the normal distribution with mean 50 and standard deviation 5. The z-score for 55 is (55-50)/5 = 1. The probability of a z-score of 1 or more is 0.1841.

If the Probability of a Newborn Child Being Female Is