# Project #83303 - Statistics

Suppose a couple has four children. Assume that each child is equally likely to be a boy or a girl, regardless of the outcome of previous births. The following table shows the results of a simulation to determine the gender breakdown in 20 families.

 Number of girls 0 1 2 3 4 Probability 2/20 =0.1 4/20= 0.2 6/20 = 0.3 5/20 = 0.25 3/20 = 0.15

a. Based on the simulation results, which is more likely, a 2:2 split of boys and girls or a 3:1 split in either direction?

b. Write out the sample space and calculate the exact probabilities for the various possible gender breakdowns.

Enter the exact answer as a decimal.

 Number of girls 0 1 2 3 4 Probability

c. Reanswer part a. using exact probabilities.

A split is more likely with a probability of .

 Subject Mathematics Due By (Pacific Time) 09/23/2015 02:14 am
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