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JEE MATHEMATICS MCQ: STATISTICS

1 Medium

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Application +4 | -1

A.M. of

C_0, 2 C_1, 3 C_2, \ldots,(n+1) C_n

, where

(1+x)^n=C_0+C_1 x+

C_2 x^2+\cdots+C_n x^n

is equal to

View answer and explanation

Correct option: A

\frac{2^{n-1}(n+2)}{(n+1)}

Option A (

\frac{2^{n-1}(n+2)}{(n+1)}

) is correct because it represents the arithmetic mean of the given binomial coefficients after applying differentiation and substitution.

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