Solving Probability w/in 1 STD: Stats Problem Homework

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SUMMARY

The discussion focuses on calculating the probability that a value falls within one standard deviation from the mean using standard deviation and variance. The user has already computed these statistics and seeks guidance on applying the z-score formula, specifically z = (x - μ) / σ, to determine the probability. The method involves calculating the cumulative probabilities for z = 1 and z = -1, then finding the difference to obtain the desired probability range.

PREREQUISITES
  • Understanding of standard deviation and variance calculations
  • Familiarity with z-scores and their significance in statistics
  • Knowledge of cumulative distribution functions (CDF)
  • Basic proficiency in probability theory
NEXT STEPS
  • Study the concept of cumulative distribution functions (CDF) in statistics
  • Learn how to compute z-scores for various datasets
  • Explore the properties of normal distributions and their applications
  • Investigate statistical software tools for probability calculations, such as R or Python's SciPy library
USEFUL FOR

Students studying statistics, educators teaching probability concepts, and anyone looking to enhance their understanding of standard deviation and its applications in probability calculations.

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Homework Statement


I am given a table of x and Probability of x an I have calculated the standard deviation and the variance.


Homework Equations





The Attempt at a Solution



from here how do I calculate the probability that a value is within one standard deviation
 
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rbailey5 said:

Homework Statement


I am given a table of x and Probability of x an I have calculated the standard deviation and the variance.


Homework Equations





The Attempt at a Solution



from here how do I calculate the probability that a value is within one standard deviation

calculate z=1 minus z= -1 (where z = (x-m)/sigma
 

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