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[20 marks] Let X1,X2,,X10 be identically and independently distributed Normal random variables
with mean 3 and variance 12 . Suppose that Y1=61i=10XiY2=41i=710Xi a. What is the distribution
of Y1 ? b. What is the distribution of Y2 ? c. If (Y1Y2)2/B has a X12 distribution, determine the
value of B.

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20 marks Let X1X2X10 be identically and independently .pdf

  • 1. [20 marks] Let X1,X2,,X10 be identically and independently distributed Normal random variables with mean 3 and variance 12 . Suppose that Y1=61i=10XiY2=41i=710Xi a. What is the distribution of Y1 ? b. What is the distribution of Y2 ? c. If (Y1Y2)2/B has a X12 distribution, determine the value of B.