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Let {x}_{{1}},{x}_{{2}},,{x}_{{n}} be values taken by a variab

Question

Let $x_{1}, x_{2}, \dots\dots, x_{n}$ be values taken by a variable $X a n d y_{1}, y_{2}, \dots\dots\dots ., y_{n}$ be the values taken by a variable $Y$ such that $y_{i} = a x_{i} + b, i = 1, 2,, n ˙$ Then, (a) $V a r (Y) = a^{2} V a r (X)$ (b) $V a r (X) = a^{2} V a r (Y)$ (c) $V a r (X) = V a r (X) + b$ (d) none of these

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Let

x_{1}, x_{2}, \dots\dots, x_{n}

be values taken by a variable

X a n d y_{1}, y_{2}, \dots\dots\dots ., y_{n}

be the values taken by a variable

Y

such that

y_{i} = a x_{i} + b, i = 1, 2,, n ˙

Then, (a)

V a r (Y) = a^{2} V a r (X)

(b)

V a r (X) = a^{2} V a r (Y)

(c)

V a r (X) = V a r (X) + b

(d) none of these

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Question Text

Let

x_{1}, x_{2}, \dots\dots, x_{n}

be values taken by a variable

X a n d y_{1}, y_{2}, \dots\dots\dots ., y_{n}

be the values taken by a variable

Y

such that

y_{i} = a x_{i} + b, i = 1, 2,, n ˙

Then, (a)

V a r (Y) = a^{2} V a r (X)

(b)

V a r (X) = a^{2} V a r (Y)

(c)

V a r (X) = V a r (X) + b

(d) none of these

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