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, 847 births consisted of 442 baby girls and 405 baby boys. In analyzing these results, assume t and girls are equally likely. a. Find the probability of getting exactly 442 girls in 847 births. b. Find the probability of getting 442 or more girls in 847 births. If boys and girls are equally likely, is 442 girls in 847 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 442 girls in 847 births is (Round to four decimal places as needed.)

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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, 847 births consisted of 442 baby girls and 405 baby boys. In analyzing these results, assume that boys
and girls are equally likely.
a. Find the probability of getting exactly 442 girls in 847 births.
b. Find the probability of getting 442 or more girls in 847 births. If boys and girls are equally likely, is 442 girls in 847 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 442 girls in 847 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, 847 births consisted of 442 baby girls and 405 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 442 girls in 847 births. b. Find the probability of getting 442 or more girls in 847 births. If boys and girls are equally likely, is 442 girls in 847 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 442 girls in 847 births is (Round to four decimal places as needed.)
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