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The mean of the values 0,1,2,3,....n, ha...

The mean of the values 0,1,2,3,....n, having corresponding weights C(n,0),C(n,1),C(n,2)......C(n,n) respectively is:

Text Solution

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Here, total number of values from `0` to `n` are `n+1`.
`:.` Mean`(M) = (C(n,0)+C(n,1)+C(n,2)+...C(n,n))/(n+1)`
As, `C(n,0)+C(n,1)+C(n,2)+...C(n,n) = 2^n`
`:. Mean (M) = 2^n/(n+1)`.
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