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, 856 births consisted of 438 baby girls and 418 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 438 girls in 856 births. b. Find the probability of getting 438 or more girls in 856 births. If boys and girls are equally likely, is 438 girls in 856 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 438 girls in 856 births is. (Round to four decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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, 856 births consisted of 438 baby girls and 418 baby boys. In analyzing these results,
assume that boys and girls are equally likely.
a. Find the probability of getting exactly 438 girls in 856 births.
b. Find the probability of getting 438 or more girls in 856 births. If boys and girls are equally likely, is 438 girls in 856
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 438 girls in 856 births is
(Round to four decimal places as needed.)
Transcribed Image Text: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, 856 births consisted of 438 baby girls and 418 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 438 girls in 856 births. b. Find the probability of getting 438 or more girls in 856 births. If boys and girls are equally likely, is 438 girls in 856 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 438 girls in 856 births is (Round to four decimal places as needed.)
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