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What is the variance of the random variable X whose probability mass function is given below?
  • a)
    2pq
  • b)
    3pq
  • c)
    pq
  • d)
    0
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the variance of the random variable X whose probability mass f...
q2 + 2pq + p2 = 1
(p+q)2 = 1
∴ (p+q) = 1

= 0 × q2 + 1 × 2pq + 2 × p2
= 2p (q+p)
∴ μ = 2p

 
Var(x) = 2pq + 4p2 − 4p2
Var(x) = 2pq
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