Standard Deviation of the Sum of Random Variables
Assuming the selections from Bag X and Bag Y are independent, what is the standard deviation of the combined chip total W = X + Y? (Round your answer to two decimal places.)
Bag X (4 cards):
| Card Value (X) | Probability |
|---|---|
| 1 | 0.25 |
| 9 | 0.25 |
| 20 | 0.25 |
| 74 | 0.25 |
Bag Y (3 cards):
| Card Value (Y) | Probability |
|---|---|
| 5 | 0.3333 |
| 15 | 0.3333 |
| 55 | 0.3334 |
A
51.00
B
10.50
C
26.00
D
35.78
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