Normal Distribution: Basic statistics help needed

AI Thread Summary
In a math course, students average 1200 computations per month with a standard deviation of 150, modeled by a normal distribution. To find the percentage of students making between 1200 and 1600 computations, one must calculate the probabilities associated with these values using the standard normal distribution. The approach involves determining the z-scores for 1200 and 1600, then using a standard normal distribution table to find the corresponding probabilities. The discussion emphasizes the need for proper statistical tables and methods to arrive at the solution. Understanding and applying the standard normal distribution is crucial for solving this problem effectively.
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Homework Statement



In math 334 one semester, the average student made 1200 computations per month with a standard deviation of 150 computations. Assume that the number of computations is approximated by a normal curve. Find the percent of students making between 1200 and 1600 computations a month.

Homework Equations


standard bell curve equation. I don't really know what specific ones I'm supposed to use for a problem like this.


The Attempt at a Solution


I figured that the answer would have to be the prob. of a student making less than 1200* the prob of a student making less than 1600. Which would be 1/2*prob of making less than 1600, which I can't seem to figure out.
 
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I figured that the answer would have to be the prob. of a student making less than 1200* the prob of a student making less than 1600.
Times? Try subtracting.

If z has the normal distribution with mean \mu and standard deviation \sigma then (z- \mu)/\sigma has the standard normal distribution for which you probably have tables (a good one is at http://www.math.unb.ca/~knight/utility/NormTble.htm ).
 
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