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Suppose that six random variables X1, . . . , X6 form a random sample from the standard Normal distribution and let Y = (X1

Suppose that six random variables X1, . . . , X6 form a random sample from the standard Normal distribution and let Y = (X1 + X2 + X3)^2 + (X4 + X5 + X6)^2.

Determine a value of c such that the random variable cY will have a 2 distribution.

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