26. Family Structure The following probability model shows the distribution of f

Question

26. Family Structure The following probability model shows the distribution of family structure among families with at least one child younger than 18 years of age in 2013. Family Structure Two married parents, first marriage Two married parents, one or both remarried Single parent No parent at home Source: Pew Research Probability 0.46 0.15 0.34 0.05 (a) Verify that this is a probability model. (b) What is the probability that a randomly selected family with at least one child younger than 18 years of age in 2013 had two married parents in their first marriage? Interpret this probability. (c) What is the probability that a randomly selected family with at least one child younger than 18 years of age in 2013 had wo married parents? unterp (d) What is the probability that a randomly selected family with ndomly selected family with at least one child younger than 18 years of age in 2013 had at least one parent at home? Interpret this probability

Explanation / Answer

Solution:

a) The sum of probabilities P = 0.46 + 0.34 + 0.15 + 0.05 = 1

b) The probability that a randomly selected family with at least one child younger than 18 years of age in 2013 had two married parents in their first marriage = 0.46, So 46% of families had had two married parents in their first marriage with at least one child younger than 18 years of age in 2013.

c) The probability that a randomly selected family with at least one child younger than 18 years of age in 2013 had two married parents = 0.46 + 0.15 = 0.61, So 61% of families had had two married parents with at least one child younger than 18 years of age in 2013.

d) The probability that a randomly selected family with at least one child younger than 18 years of age in 2013 had at least one parent at home = 0.46 + 0.15 + 0.34 = 0.95, So 95% of families had at least one parent at home with at least one child younger than 18 years of age in 2013.

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