X has the probability distribution: Compute the expected value of X.
A)1.3
B)1.0
C)2.4
D)1.8

Name: X has the probability distribution: Compute the expected value of X. A)1.3 B)1.0 C)2.4 D)1.8
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Question

X has the probability distribution:  Compute the expected value of X.
A)1.3 
B)1.0 
C)2.4 
D)1.8

Quizplus · Accepted Answer

To find the expected value of X, we multiply each possible outcome by its probability and then sum them up. So, E(X) = (0.10)(0) + (0.30)(1) + (0.50)(2) + (0.10)(3) = 0 + 0.3 + 1.0 + 0.3 = 1.6. Therefore, the closest option to the expected value calculated is option D, which is 1.8.

X Has the Probability Distribution: Compute the Expected Value