Let x 1 , x 2 ,......x 10 be ten observations such that ∑ = = − 10 1 i i 30 ) 2 x ( , ∑ = = β − 10 1 i 2 i 98 ) x ( , β 2 and their variance is 5 4 . If μ and σ 2 are respectively the mean and the variance of 2(x 1 – 1) + 4 β , 2(x 2 – 1) + 4 β , ....., 2(x 10 – 1) + 4 β , then 2 σ βμ is

Question

Let x 1 , x 2 ,......x 10 be ten observations such that ∑ = = − 10 1 i i 30 ) 2 x ( , ∑ = = β − 10 1 i 2 i 98 ) x ( , β > 2 and their variance is 5 4 . If μ and σ 2 are respectively the mean and the variance of 2(x 1 – 1) + 4 β , 2(x 2 – 1) + 4 β , ....., 2(x 10 – 1) + 4 β , then 2 σ βμ is equal to :

Accepted Answer

100

Related JEE Main General questions