t distribution?? 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.