(%) 6.4.15 i Question Help * When two births are randomly selected, the sample s

Question

(%) 6.4.15 i Question Help * When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg Assume that those four outcomes are equally likely Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample of having a boy is 7. the probability of having a gi is 2. and this is not affected by how many boys or girls have previously been borm. or 2 Pansing 6 2

Explanation / Answer

her as P(proportion =0) =P(both boys) =(1/2)*(1/2) =1/4

P(proportion =1/2) =P(one girl) =1/2

P(proportion =1) =P(both girl) =(1/2)*(1/2) =1/4

sample proportion of girls probability 0    1/4 1/2 1/2 1    1/4

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