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Let X = {x in N : 1 le x le 17 ...

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

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y={(ax+b):agt0},x={x:1lexle17} Mean and Variance of y are 17 and 216 . Find a and b