Given that the birth of boys and girls are equally likely, for a group of 400 bi

Question

Given that the birth of boys and girls are equally likely, for a group of 400 births, the mean of number of girls is 200. Suppose that there is a standard deviation of 10 girls Is 232 girls in 400 births an unusually high number of girls? Is 185 girls in 400 births an unusually low number of girls? Tinnitus is the condition of ringing in the ears. The table below describes the probability of the number of men out of any random four who have tinnitus does the table describe a probability distribution? Why or why not? Use the table to find the mean and standard deviation for the random variable x.

Explanation / Answer

3a).

Z value for 232, z=(232-200)/10 =3.2

P( x 232) = P(z>3.2) =0.0007

232 is an unusual value, because 0.0007 < 0.05.

Therefore 232 girls is an unusually high number of girls.

3b).

Z value for 185, z=(185-200)/10 = -1.5

P( x 185) = P(z < -1.5) = 0.0668

185 is not an unusual value, because 0.0668 > 0.05.

Therefore 185 girls is not an unusually low number of girls.

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