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, 964 births consisted of 485 baby girls and 479 baby...

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, 964 births consisted of 485 baby girls and 479 baby boys. In analyzing these​ results, assume that boys and girls are equally likely.

1. Find the probability of getting exactly 485 girls in 964 births.


2. Find the probability of getting 485 or more girls in 964 births. If boys and girls are equally​ likely, is 485 girls in 964 births unusually​ high?


3. Which probability is relevant for trying to determine whether the technique is​ effective: the result from part​ (a) or the result from part​ (b)?


4. Based on the​ results does it appear that the​ gender-selection technique is​ effective?