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Gate2007_77

Suppose the letters a, b, c, d, e, f have probabilities 

\( {1\over 2 }, {1\over 4 }, {1\over 8 } , {1\over 16 } , {1\over 32 }, {1\over 32 },\)  respectively.

What is the  average length ?

(A) 3        (B) 2.1875        (C) 2.25       (D) 1.9375

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