Suppose three births are randomly selected. There are two equally possible outco

Question

Suppose three births are randomly selected. There are two equally possible outcomes for each birth, a boy (b) or a girl (g). The 1 represent a boy and number of boys can equal 0, 1 , 2, or 3 . These correspond to sample proportions of 0, 3, and 1. Let x x 0 represent a girl. Using these values, find the sample mean for each sample. What do you notice? Click the icon to view the sample probability table. Click the icon to view the sampling distribution table. '3'3' Click the icon to view the sampling distribution probability histogram. Sample Sample Mean gbb bgb bbg bgg gbg ggb

Explanation / Answer

From the given data,

Therefore, we notice that

All sample means are equal to sample proportions

Sample Sample Mean bbb 3/3 = 1 gbb 2/3 = 0.6667 bgb 2/3 = 0.6667 bbg 2/3 = 0.6667 bgg 1/3 = 0.3333 gbg 1/3 = 0.3333 ggb 1/3 = 0.3333 ggg 0/3 =0

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