Question: 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 χ2 distribution.

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