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hello welcome to this lesson here were going to continue working these problems with the normal distribution and we have one up here on the board we see that a CT scores which is a standardized test are normally distributed with a mean of twenty four point two thats the mean test score and a standard deviation of four point two so that might be something else that surprises you is these standardized test scores are normally distributed much like body temperatures and other things you see how so many different things are normally distributed youre always gonna have a peak where most of your students are kind of clustered but then youre gonna have outliers on both sides are gonna fall away in the shape of that normal distribution the question is what is the probability that a student a randomly drawn students scores greater than thirty one greater than thirty one so as before lets write down what we know the mean is twenty four point two the standard deviation is four point two so