Homework Soursea gender selection technique is designed to increase the lik
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, 952 births consisted of 490 baby girls and 462 baby boys. In analyzing these results, assume that boys and girls are equally likely.
A) find the probability of getting exactly 490 girls in 952 births.
B) find the probability of getting 490 or more girls in 952 births. If boys and girls are equally likely, is 490 girls in 952 births unusually high?
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, 952 births consisted of 490 baby girls and 462 baby boys. In analyzing these results, assume that boys and girls are equally likely.
A) find the probability of getting exactly 490 girls in 952 births.
B) find the probability of getting 490 or more girls in 952 births. If boys and girls are equally likely, is 490 girls in 952 births unusually high?
A) find the probability of getting exactly 490 girls in 952 births.
B) find the probability of getting 490 or more girls in 952 births. If boys and girls are equally likely, is 490 girls in 952 births unusually high?
Solution
A) Probability of getting exactly 490 girls in 952 births = ( 490! x 462! ) / 952! = 1/( 952 C 490 )
B) Probabilty of getting 490 or more girls = 1 - 1/( 952 C 490 )
490 girls in 952 births gives a proportion of 0.51, which is not unusually high.
