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AP EAMCET202316 May 2023Evening ShiftMathematicsProbabilityActual

The value of the constant c , so that P ( x )= c ( 2 3 )^ x , x=1,2,3, is the probability distribution function of a discrete random variable X is

Options

  1. A1 3
  2. B1 2
  3. C1
  4. D0

Correct answer

B. 1 2

Step-by-step solution

Given P(X)=C ( 2 3 )^X X=1,2,3, Now, P ( X =1)+ P ( X =2)+ P ( X =3)+ =1 aligned & C 2 3 +C ( 2 3 )^2+C ( 2 3 )^3+ =1 & C 2 3 + ( 2 3 )^2+ ( 2 3 )^3+ =1 & C 2 3 1- 2 3 =1 C= 1 2 aligned

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