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If two random variables x and y are related by y=2-3x, then the SD of y is given by
(A) -3\times SD of x
(b) 3x SD of x?
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If two random variables x and y are related by y=2-3x, then the SD of ...
Relationship between x and y:
- The given relationship between the two random variables x and y is y = 2 - 3x.

Standard Deviation of y:
- To find the standard deviation (SD) of y, we need to consider how the SD of x affects the SD of y in the given relationship.
- Since y = 2 - 3x, any variability in x will be amplified by the factor of 3 in y.

Impact of x on y:
- When x varies, it directly affects y by a factor of -3. This means that for a one-unit increase in x, y decreases by 3 units.

Conclusion:
- The SD of y will be 3 times the SD of x in the given relationship y = 2 - 3x.
- Therefore, the correct answer is (b) 3 times the SD of x.
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If two random variables x and y are related by y=2-3x, then the SD of y is given by(A) -3\times SD of x(b) 3x SD of x?
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