The independent random variables X and Y are normally distributed With zero means, and vari- ances of 4 and 9 respectively. A further independent random
The independent random variables X and Y are normally distributed With zero means, and vari- ances of 4 and 9 respectively. A further independent random variable V has the X2 distribution with [10 degrees of freedom. (a) For What values of a and b does V + a(X Y + b)2 have an X2 distribution? What degrees of freedom does it have? (4)
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