NDA2018MathematicsStatisticsActual
If the correlation coefficient between x and y is 0.6 , covariance is 27 and variance of y is 25 , then what is the variance of x ?
Options
- A9 5
- B81 25
- C9
- D81
Correct answer
D. 81
Step-by-step solution
Given, r=0.6 , covariance =27, _ ( y ) ^2=25 ( y )=5 We know, r = covariance ( x , y ) ( x ) ( y ) ( x )= covariance ( x , y ) r. ( y ) = 27 ( 6 10 ) 5 aligned & = 27 2 6 =9 & ^2(x)=81 aligned