Suppose that the five random variables X1,...,X5 are

Chapter 8, Problem 3

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Suppose that the five random variables X1,...,X5 are i.i.d. and that each has the standard normal distribution. Determine a constant c such that the random variable c(X1 + X2) (X2 3 + X2 4 + X2 5)1/2 will have a t distribution.

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