Calculate Expected Value for the problem below a) The weights (X) of patients at a clinic (in pounds), are 108, 110, 123, 134, 135, 145, 167, 187, 199 Assume one of the patients is chosen at random. What is the Expected Value of the Weight of that patient?
Answers
Given : The weights (X) of patients at a clinic (in pounds), are 108, 110, 123, 134, 135, 145, 167, 187, 199
one of the patients is chosen at random.
To Find : Expected Value
Solution:
Expected Value = ∑ ( probability * Value )
∑ P(x).E(x)
there are 9 patients
Probability of selecting each patient = 1/9
Ex 108, 110, 123, 134, 135, 145, 167, 187, 199
P(x) 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9
Expected Value = (1/9)(108) + (1/9)110 + (1/9)123 + (1/9)134 + (1/9)135 + (1/9)145 + (1/9(167) + (1/9)187 + (1/9)199
= (1/9) ( 108 + 110 + 123 + 134 + 135 + 145 + 167 + 187 + 199)
= (1/9) ( 1308)
= 145.33
Expected Value of the Weight of that patient = 145.33
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Answer:
Find the mean. The mean is: = 145.333
Step-by-step explanation: