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AP EAMCET2014MathematicsProbability

A random variable X has the probability distribution given below. Its variance is

Options

  1. A16 3
  2. B4 3
  3. C5 3
  4. D10 3

Correct answer

B. 4 3

Step-by-step solution

Given distribution is aligned & Variance = x_i^2 p- ( x_i p )^2 & =(1 k+8 k+27 k+32 k+25 k) & -(k+4 k+9 k+8 k+5 k)^2 & =(93 k)-(27 k)^2= (93 1 9 )- (27 1 9 )^2 & ( p=1, k= 1 9 ) & = 93 9 -9= 93-81 9 = 12 9 = 4 3 & aligned

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