Problem

Calculate the expected value of the scenario.
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Expected value =

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Answer

The final answer is 2.94.

Steps

Step 1 :Calculate the expected value by multiplying each outcome by its probability and summing up the results.

Step 2 :Let the outcomes be xi=[1,2,3,4,5] and the corresponding probabilities be P(xi)=[0.24,0.31,0.01,0.15,0.29].

Step 3 :Compute the expected value using the formula Expected value=i=1nxiP(xi).

Step 4 :Substitute the values into the formula to get Expected value=10.24+20.31+30.01+40.15+50.29.

Step 5 :Calculate the sum to get the expected value Expected value=2.94.

Step 6 :The final answer is 2.94.

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