The U.S. Department of Health and Human Services reports that there were 250,000 babies born to...
The U.S. Department of Health and Human Services reports that there were 250,000
babies born to teenagers aged 15-18 in 2004. Of these 250,000 births, 7% were to
15-year-olds, 17% were to 16-year-olds, 29% were to 17-year-olds, and 47% were to
18-year-olds. LetX be the age of a randomly selected mother between the ages of 15
to 18. Find the mean, variance, and standard deviation of X
Homework Answers
Mean = E(X) = 0.07 * 15 + 0.17 * 16 + 0.29 * 17 + 0.47 * 18 = 17.16
E(X2) = 0.07 * 152 + 0.17 * 162 + 0.29 * 172 + 0.47 * 182 = 295.36
Variance = E(X2) - (E(X))2 = 295.36 - 17.162 = 0.8944
Standard deviation = sqrt(0.8944) = 0.9457
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The U.S. Department of Health and Human Services reports that
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