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A. find the probability of getting exactly 472472 girls in 934934 births.
b. find the probability of getting 472472 or more girls in 934934 births. if boys and girls are equally​ likely, is 472472 girls in 934934 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?

Respuesta :

LammettHash
Not sure what is meant by "technique" here. Likely some information was left out of the question.

But if we assume there's a [tex]\dfrac12[/tex] probability of a girl being born, then

[tex]\mathbb P(X=472)=\dbinom{934}{472}\left(\dfrac12\right)^{472}\left(1-\dfrac12\right)^{934-472}\approx0.0247[/tex]

[tex]\mathbb P(X\ge472)=\displaystyle\sum_{x=472}^{934}\binom{934}x\left(\dfrac12\right)^x\left(1-\dfrac12\right)^{934-x}\approx0.3842[/tex]

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