Answer
Expected value of a weight that a randomly chosen child weighed
= 58.05
Step-by-step explanation
The expected value of a distribution can be calculated as the mean of that distribution.
The mean is the average of the distribution. It is obtained mathematically as the sum of variables divided by the number of variables.
Mean = (Σx)/N
x = each variable
Σx = Sum of the variables
N = number of variables
Σx = (13 × 6) + (35 × 4) + (89 × 3) + (95 × 6) + (106 × 1)
Σx = 78 + 140 + 267 + 570 + 106
Σx = 1,161
N = 6 + 4 + 3 + 6 + 1 = 20
Mean = (Σx)/N
Mean = (1,161/20) = 58.05
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