A company gives each worker a cash bonus every Friday, randomly giving a worker an amount with these probabilities: $10 - 0.75,
$50 - 0.25. Over many weeks, what is a worker's expected weekly bonus? 1. 10 x 0.25 + 50 x 0.75 = $40
2. (10 + 50) x (0.75 x 0.25) = $11.5
3. 10 x 0.75 + 50 x 0.25 = $20
4. Cannot say as the number of weeks is not provided.
You can't change the sum by changing the grouping. Any way you cut it, you will always get 226, as you only have addition operations, and the commutative property [a+(b+c)=(a+b)+c] means that the sum will always be the same.
