The expected value of the spinner is the sum of the product of the probability of each outcome in an experiment. Hence, the expected value is 2.125
Creating a discrete probability distribution for the spinner :
- X ______ 1 ______ 2 ________ 3
- P(X) : __ 0.25 ___ 0.375 ____ 0.375
The expected value, E(X) is defined as :
E(X) = (1 × 0.25) + (2 × 0.375) + (3 × 0.375)
E(X) = 0.25 + 0.75 + 1.125
E(X) = 2.125
Therefore, the expected value of the spinner is 2.125
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