I'm currently taking Statistics 1 and I'm stuck on a problem that I've been trying to solve out for a while...hopefully one of you guys can help me out...heres the question:

Find Xₒwhere P(X ≥Xₒ) = 0.65 and X ~ N(200,15)

-From population draw a sample of 36 units. Find P(x-bar ≥ 225)

-Construct a confidence interval at 95% confidence

-Interpret the interval ask that on the physics forum

please show work so i can follow & understand