X has mean 10 and SD 2. Let Y = 3X + 5.
What is the mean and SD of Y?
- A
mean 30, SD 6
- B
mean 35, SD 11
- C
mean 35, SD 2
- Dcheck_circle
mean 35, SD 6
Explanation
E(Y) = 3(10) + 5 = 35. SD(Y) = 3 * SD(X) = 6 (constants don't affect SD).
Combining Random Variables
AP Statistics· difficulty 3/5
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