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

If U and V are independent, U being distributed N(3,16) and V being distributed as chi-square on 9 degrees of freedom, find

P(U-3 < 4.33 sqrtV).

2. Relevant equations

3. The attempt at a solution

Well I don't even know where to start!! Does U-3 suggest the mean is 0? Is the whole distribution of U shifted left by 3? Does that give a t distribution?

I am not asking for the answer but some direction would be appreciated, I just can't seem to understand this at all.

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# Homework Help: T distribution?

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