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If x_(1)N(mu ,sigma ^(2)) and x_(2)N(mu ,sigma ^(2)) are independent and identically distributed normal random variables, then what's the difference between 2x_(1) and x_(1)+x_(2) ?

If

x_(1)N(\\\\mu ,\\\\sigma ^(2))

and

x_(2)N(\\\\mu ,\\\\sigma ^(2))

are independent and identically distributed normal random variables, then what's the difference between

2x_(1)

and

x_(1)+x_(2)

? They both have normal distributions.\ Choose the correct answer below.

image text in transcribed
If X1N(,2) and X2N(,2) are independent and identically distributed normal random variables, then what's the difference between 2X1 and X1+X2 ? They both have normal distributions. Choose the correct answer below

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