A gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the gender-selection technique, 846 births
consisted of 429 baby girls and 417 baby boys. In analyzing these results, assume that boys and girls are equally likely.
a. Find the probability of getting exactly 429 girls in 846 births.
b. Find the probability of getting 429 or more
girls in 846 births. If boys and girls are equally likely, is 429 girls in 846 births unusually high?
c. Which probability is relevant for trying to determine whether the technique is effective: the result from part (a) or the result from part (b)?
d. Based on the results, does it appear that the gender-selection technique is effective?
a. The probability of getting exactly 429 girls in 846 births is
(Round to four decimal places as needed.)