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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 letamp;#39;s keep going they ask us to assume that 2.2 percent of these thermometers are rejected because theyamp;#39;re too high and we also have 2.2 percent that are rejected because theyamp;#39;re too low now we need to sketch and determine these cutoff values well letamp;#39;s start with the sketch letamp;#39;s start wit