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AP EAMCET202315 May 2023Evening ShiftMathematicsProbabilityActual

If P ( X = x )= k ( 3 8 )^ X , x =1,2,3, is the probability distribution function of a discrete random váriable X , then k =

Options

  1. A5 8
  2. B8 3
  3. C5 3
  4. D4 3

Correct answer

C. 5 3

Step-by-step solution

P(X=x)=k ( 3 8 )^X ; X=1,2,3, Now, P(X=1)+P(X=2)+P(X=3)+ . .=1 aligned & k ( 3 8 )^1+k ( 3 8 )^2+k ( 3 8 )^3+ .=1 & k [ ( 3 8 )^1+ ( 3 8 )^2+ ( 3 8 )^3+ . ]=1 & k 3 8 1- 3 8 =1 k= 5 3 aligned

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