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MHT CET20239 May 2023Morning ShiftMathematicsProbabilityActual

The probability mass function of random variable X is given by P [ X = r ]= array ll ^ n C _ r 32 , & n , r N 0, & otherwise array , then P [ X 2]= .

Options

  1. A1 3
  2. B1 2
  3. C1 4
  4. D1 5

Correct answer

B. 1 2

Step-by-step solution

aligned & Since _ x=0 ^ n P ( X = n )=1 & ^n C₀+ ^n C₁+ ^n C₂ + + ^n C_n 32 =1 & 2^ n =32 & n =5 & P ( X 2)= P ( X =0)+ P ( X =1)+ P ( X =2) & = ^5 C ₀ 32 + ^5 C ₁ 32 + ^5 C ₂ 32 = 1 2 & aligned

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