Test Index

Probability

Question : 36 of 127

Marks: +1, -0

x

y=2-3x

y

is given by

Solution:

Concept:

Standard deviation is unaffected by addition/subtraction of a constant but scales by the absolute value of a multiplicative constant.

Explanation:

Given

y = 2 - 3x

Constant

2

does not affect SD.

Multiplying by

-3

scales SD by

|-3| = 3

Thus,

\text{SD}(y) = 3 \times \text{SD}(x)

Answer:

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