The two random variable X and Y are uncorrelated if and only if their covariance is

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ESE Electronics Prelims 2021 Official Paper
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  1. 0
  2. 1
  3. -1
  4. infinity

Answer (Detailed Solution Below)

Option 1 : 0
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ST 1: UPSC ESE (IES) Civil - Building Materials
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Two random variables are said to be uncorrelated if their covariance is zero.

Now,

where  and 

Thus,  

Using, the property of expectation that  we have,

For uncorrelated variables, 

Thus, for variables to be uncorrelated 

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