Question

Let X represent the number of children in a Canadian household. The probability distribution of X is: x 1 2 3 4 p(x) 0.30 0.35 0.20 0.15 What is the expected number of children in a randomly selected Canadian household? Group of answer choices none of the other answers are correct 2.6 2.2 2.5

Answer 1

Answer:0.45

Step-by-step explanation:

Answer 2

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:

$E(x) = \sum xp(x)\\\\E(x) = x_1p(x_1)+x_2p(x_2)+x_3p(x_3)+x_4p(x_4)$

Note that:

$x_1=1, p(x_1) = 0.30, x_2 = 2, p(x_2)=0.35, x_3=3, p(x_3)=0.20,x_4=4,p(x_4)=0.15$

Substitute these values into the expected value formula

$E(x) = 1(0.30)+2(0.35)+3(0.20)+4(0.15)\\E(x) = 0.30+0.70+0.60+0.60\\E(x) = 2.2$

The expected number of children  in a randomly selected Canadian household  is 2.2

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