Let $X = \left\{ {x\varepsilon N:1 \le x \le 17} \right\}$ and $Y = \left\{ {ax + b:x \in X\,{\rm{and}}\,a,b \in R,a > 0} \right\}$ If mean and variance of elements of Y are 17 and 216 respectively, then a+b is equal to

JEE MATHEMATICS MCQ: STATISTICS

1 Easy

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Application +4 | -1

Let

X = \left\{ {x\varepsilon N:1 \le x \le 17} \right\}

and

Y = \left\{ {ax + b:x \in X\,\mathrm{and}\,a,b \in R,a > 0} \right\}

If mean and variance of elements of Y are 17 and 216 respectively, then a+b is equal to

View answer and explanation

Correct option: C

-7

The correct answer is C (-7) because it is found by using the given mean and variance to solve for a and b, then calculating a+b.

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