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okay now itamp;#39;s time to find some proportions okay this is the first thing weamp;#39;re going to do so for all of these exercises weamp;#39;re going to use the same data we have a mean of 71 this test exam was 71 had a standard edition of 14 this particular particular problem from the lesson says what proportion of people scored below a 68 so the way we solve this is the step step wise procedure step number one we draw a graph label it you want to put at least two standard deviations Iamp;#39;m okay step one step two as we calculate the z-score thatamp;#39;s my Z right there we know the Z is raw score minus the mean over us so our raw score is in the problem right here 68 minus the mean given to us 71 over 14 that comes out to negative zero point two one so that is step two step three weamp;#39;re out of here first step to calculate the Z step three is place it on the graph negative point two one well thatamp;#39;s going to be about there I guess negative point to one that