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JEE MATHEMATICS MCQ: STATISTICS

1 Easy

1 of 1

Application +4 | -1

If

x

and

y

are two random variables with the same standard deviation and coefficient of correlation

r

, then the coefficient of correlation between

x

and

x+y

is

View answer and explanation

Correct option: B

\sqrt{\frac{1+r}{2}}

Option B (

\sqrt{\frac{1+r}{2}}

) is correct because it is derived from the covariance and standard deviations of x and x+y.

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