Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

If a, b, h, k are constants, while U and V are U = [X - a] / h, V = [Y - b] / k, then

1) Cov (X, Y) = Cov (U, V)

2) Cov (X, Y) = hk Cov (U, V)

3) Cov (X, Y) = ab Cov (U, V)

4) Cov (U, V) = hk Cov (X, Y)

Solution: (2) Cov (X, Y) = hk Cov (U, V)

U = [X – a] / h, V = [Y – b] / k

X = hU + a, Y = kV + b

Cov (X, y) = hk Cov (U, v) [because (AX + B, CY + D) = AC Cov (x, y)]

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