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this problem asks us to find sketch and find the cutoff values for this given problem it says that we have thermometers that are normally distributed with a mean of zero and a standard deviation of one now let me pause there for a quick second as soon as you read these words and you see those words they are normally distributed three things come to mind and I mentioned this in a previous video we have a bell-shaped distribution we have a total area under the curve which is 1 and this bell straight bell-shaped distribution is symmetrical as soon as you see these two things not only do we have a normal distribution but we have a standard normal distribution okay lets keep going they ask us to assume that 2.2 percent of these thermometers are rejected because theyre too high and we also have 2.2 percent that are rejected because theyre too low now we need to sketch and determine these cutoff values well lets start with the sketch lets start with the picture thats going on here let