Respuesta :
The expected number of children in a randomly selected Canadian household is 2.2
X represents the number of children
p(x) represents the probability distribution
X = 1, 2, 3, 4
P(x) = 0.30, 0.35, 0.20, 0.15
The expected value is given by the formula:
[tex]E(x) = \sum xp(x)\\\\E(x) = x_1p(x_1)+x_2p(x_2)+x_3p(x_3)+x_4p(x_4)[/tex]
Note that:
[tex]x_1=1, p(x_1) = 0.30, x_2 = 2, p(x_2)=0.35, x_3=3, p(x_3)=0.20,x_4=4,p(x_4)=0.15[/tex]
Substitute these values into the expected value formula
[tex]E(x) = 1(0.30)+2(0.35)+3(0.20)+4(0.15)\\E(x) = 0.30+0.70+0.60+0.60\\E(x) = 2.2[/tex]
The expected number of children in a randomly selected Canadian household is 2.2
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