1. The problem statement, all variables and given/known data Take 50 free throws in basketball, and record the number of successful shots. 1) Use this data to estimate your free throw percentage. 2) Construct a 95% confidence interval for this estimated quantity. 2. Relevant equations X ~ Binomial(n,p) 3. The attempt at a solution I don't quite understand this. I would've guessed that given the data, my free throw percentage should be pretty obviously k/50 where k is the number of shots I landed. Maybe this means I should set the problem up as such? X ~ Binomial(50,k/50) But then it wants me to construct a confidence interval, so that can't be it, because I've taken the probability of landing a shot to be known. edit: Hang on, I think I need to assume they're normally distributed.