Answer
A randomly chosen score X has an expected value of 63.9
Step-by-step explanation
The expected value is calculated as the mean of the 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 = (19 × 2) + (43 × 1) + (56 × 1) + (70 × 3) + (92 × 1) + (100 × 2)
Σx = 38 + 43 + 56 + 210 + 92 + 200
Σx = 639
N = 2 + 1 + 1 + 3 + 1 + 2 = 10
Mean = (Σx)/N
Mean = (639/10) = 63.9
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