(adsbygoogle = window.adsbygoogle || []).push({}); Determine constant c so that random variable will have a t distribution?

1. The problem statement, all variables and given/known data

Suppose that five random variables x_{1}, x_{2}, x_{3}, x_{4}, x_{5}are independent and have normal distribution N(0,1). Determine a constant c such that the random variable

c*(x_{1}+x_{2})/[itex]\sqrt{x_3^2 + x_4^2 + x_5^2}[/itex]

will have a t distribution?

2. Relevant equations

3. The attempt at a solution

I'm pretty confuced what to do. My cource material doesn't offer any clues how to approach this problem and my teacher didn't show anything related to this kind problem. Any clues for me? Thanks

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# Homework Help: Determine constant c that random variable will have a t distribution?

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