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This question already has an answer here:

White Gaussian Noise PSD is fixed No/2. So how we can investigate that noise variance is average power of the noise?

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marked as duplicate by Dilip Sarwate, lennon310, MBaz, AlexTP, A_A Mar 2 '18 at 21:14

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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Since this is clearly a homework question: Simply by applying the definition of variance. Remember that white noise has a mean of 0.

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