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## Homework Statement

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.

## Homework Equations

X ~ Binomial(n,p)

## 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.

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