=+ (c) If X -Y=0, the conditional distribution of R2 is chi-squared with one degree of freedom.

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(c) If X -Y=0, the conditional distribution of R2 is chi-squared with one degree of freedom. If 0 = m/4 or 0 = 5m/4, the conditional distribution of R2 is chi-squared with two degrees of freedom. But the events [ X -Y = 0] and

[0 = 1/4]U[] = 5TT/4] are the same. Resolve the apparent contradiction.

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