A police department reports that the probabilities that 0, 1, 2, and 3 domestic disputes will be reported in a given day are 0.53, 0.43, 0.03, and 0.01, respectively. Find the mean.

The mean of the outcomes is 0.52.

Step-by-step explanation:

Multiply each possible outcome {0, 1, 2, 3} by the respective probability, and then add up the four products:

0·0.53 + 1·0.43 + 2·0.03 + 3·0.01. This comes out to:

0 + 0.43 + 0.06 + 0.03 = 0.52

The mean of the outcomes is 0.52.