26. Gender Selection In a test of a gender-selection method, 14 babies are born and 10 of them are girls. a. Find the number of different possible sequences of genders that are possible when 14 babies are born. b. How many ways can 10 girls and 4 boys be arranged in a sequence? c. If 14 babies are randomly selected, what is the probability that they consist of 10 girls and 4 boys?

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ISBN:9781337282291
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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26. Gender Selection In a test of a gender-selection method, 14 babies are born and 10 of
them are girls.
a. Find the number of different possible sequences of genders that are possible when
14 babies are born.
b. How many ways can 10 girls and 4 boys be arranged in a sequence?
c. If 14 babies are randomly selected, what is the probability that they consist of 10
girls and 4 boys?
d. Does the gender-selection method appear to yield a result that is significantly dif-
ferent from a result that might be expected by random chance?
Transcribed Image Text:@ S 26. Gender Selection In a test of a gender-selection method, 14 babies are born and 10 of them are girls. a. Find the number of different possible sequences of genders that are possible when 14 babies are born. b. How many ways can 10 girls and 4 boys be arranged in a sequence? c. If 14 babies are randomly selected, what is the probability that they consist of 10 girls and 4 boys? d. Does the gender-selection method appear to yield a result that is significantly dif- ferent from a result that might be expected by random chance?
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