Let `x_1, x_2, ,x_n` be values taken by a variable `Xa n dy_1, y_2, ,y_n` be the values taken by a variable `Y` such that`y_i=a x_i+b ,i=1,2, ,ndot` Then, `V a r(Y)=a^2V a r(X)` (b) `V a r(X)=a^2V a r(Y)` (c) `V a r(X)=V a r(X)+b` (d) none of these

Let x_(1),x_(2),......,x_(n) be values taken by a variable Xandy_(1),y_(2),.........,y_(n) be the values taken by a variable Y such that y_(i)=ax_(i)+b,i=1,2,n. Then,(a)Var(Y)=a^(2)Var(X)(b)Var(X)=a^(2)Var(Y)(c)Var(X)=a^(2)Var(Y)(c)Var(X)=Var(X)+b(d) none of these

If x_(1),x_(2),,x_(n) are n values of a variable X and y_(1),y_(2)y_(n) are n values of variable Y such that y_(i)=ax_(i)+b,i=1,2,;~ n then write Var(Y) in terms of Var(X)

Find the values of x and y , if 2 x + 3yi = 2+ 12i , where x, y in R

A probability distribution of a variable X is given below: X :01234 P(X):0. 10. 250. 30. 20. 15 Find (i) V a r(X) (ii) V a r(X/2)

Let R= {x,y):x+2y=8} be a relation on N . write the range of R .

Find the values of x and y , if (3y -2) + (5 -4x)i=0 , where , x y in R.