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MHT CET20228 Aug 2022Morning ShiftMathematicsProbabilityActual

If the function P[X=x]= array cc K 2^x x ! , & x=0,1,2,3 0, & otherwise array . Forms p.m.f., then value of K is

Options

  1. A5 19
  2. B2 19
  3. C3 19
  4. D1 19

Correct answer

C. 3 19

Step-by-step solution

aligned & P(x)=1 & k 2^0 0 ! +k 2^1 1 ! +k 2^2 2 ! +k 2^3 3 ! =1 & 19 3 k=1 & k= 3 19 aligned

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