- #1
Mixer
- 39
- 0
Determine constant c so that random variable will have a t distribution?
Suppose that five random variables x1, x2, x3, x4, x5 are independent and have normal distribution N(0,1). Determine a constant c such that the random variable
c*(x1+x2)/[itex]\sqrt{x_3^2 + x_4^2 + x_5^2}[/itex]
will have a t distribution?
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
Homework Statement
Suppose that five random variables x1, x2, x3, x4, x5 are independent and have normal distribution N(0,1). Determine a constant c such that the random variable
c*(x1+x2)/[itex]\sqrt{x_3^2 + x_4^2 + x_5^2}[/itex]
will have a t distribution?
Homework Equations
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
Last edited: