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GATE Civil Engineering 2016 Paper 2

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Question : 37

Total: 65

If 𝑓(𝑥) and g(x) are two probability density functions,
f(x)={

‌−a≤x≤0

Which one of the following statements is true?

Mean of 𝑓(𝑥) and 𝑔(𝑥) are same; Variance of 𝑓(𝑥) and 𝑔(𝑥) are same
Mean of 𝑓(𝑥) and 𝑔(𝑥) are same; Variance of 𝑓(𝑥) and 𝑔(𝑥) are different
Mean of 𝑓(𝑥) and 𝑔(𝑥) are different; Variance of 𝑓(𝑥) and 𝑔(𝑥) are same
Mean of 𝑓(𝑥) and 𝑔(𝑥) are different; Variance of 𝑓(𝑥) and 𝑔(𝑥) are different

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