Normal Distribution: Basic statistics help needed

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SUMMARY

The discussion revolves around calculating the percentage of students making between 1200 and 1600 computations per month, given a normal distribution with a mean of 1200 and a standard deviation of 150. Participants emphasize the use of the standard normal distribution formula, where the z-score is calculated as (z - μ) / σ. Resources such as standard normal distribution tables and online revision tools are recommended for accurate calculations.

PREREQUISITES
  • Understanding of normal distribution concepts
  • Familiarity with z-scores and standard deviation
  • Ability to use standard normal distribution tables
  • Basic knowledge of probability calculations
NEXT STEPS
  • Learn how to calculate z-scores for normal distributions
  • Study the application of the standard normal distribution table
  • Explore probability calculations involving normal distributions
  • Review examples of normal distribution problems in statistics
USEFUL FOR

Students in statistics courses, educators teaching basic statistics, and anyone seeking to understand normal distribution calculations and their applications.

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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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