Question

Dr. Cho, a pediatrician, weighed all the children wh Weight (lbs) Number of children 6 13 4 35 3 89 6 95 1 106 X is the weight that a randomly chosen child weighed. What is the expected value of X? Write your answer as a decimal.

Answer 1

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

Hope this Helps!!!