Distributed random variables with mean

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Reference no: EM131830260

Suppose that X and Y are independent, identically distributed random variables with mean 0 and variance 1, such that

1283_distributed random variables.png

Show that X and Y are standard normal.

If we know that X and Y are standard normal, then it is easy to verify the relation. The idea thus is to prove the converse.

Reference no: EM131830260

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