Demographic studies focused on the number (X) of children inyoung families have

Question

Demographic studies focused on the number (X) of children inyoung families have found that 35% of families had no child, 40% offamilies had only one child, 15% of families had two children, andno young family had more than 3 children. X- Value 0 1 2 3 Total Probability .35 .4 .15 .1 100%
a) based on the distribution, what is the expected number ofchildren in a randomly selected family? b) what is the standard deviation of X? Demographic studies focused on the number (X) of children inyoung families have found that 35% of families had no child, 40% offamilies had only one child, 15% of families had two children, andno young family had more than 3 children. X- Value 0 1 2 3 Total Probability .35 .4 .15 .1 100% X- Value 0 1 2 3 Total Probability .35 .4 .15 .1 100%
a) based on the distribution, what is the expected number ofchildren in a randomly selected family? b) what is the standard deviation of X? X- Value 0 1 2 3 Total Probability .35 .4 .15 .1 100%

Explanation / Answer

a) expected number: (0)(0.35) + (1)(0.4) + (2)(0.15) + (3)(0.1) = 1 child b) standard deviation: s = (sum of (x-mean)^2)(f)/ (n-1)) s = 0.0745

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