Statistics Question - Normal Distribution

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SUMMARY

The discussion centers on solving a statistics problem involving the normal distribution with a mean of 79 and a standard deviation of 12. The user initially struggles with part c of the problem, specifically applying the z-score formula to find probabilities. After some confusion, the user ultimately resolves the issue, indicating that the solution was simpler than anticipated. This highlights the importance of understanding z-scores in normal distribution problems.

PREREQUISITES
  • Understanding of normal distribution concepts
  • Familiarity with z-scores and their calculations
  • Knowledge of mean and standard deviation
  • Ability to interpret probability statements
NEXT STEPS
  • Study the calculation of z-scores in depth
  • Practice problems involving normal distribution and probability
  • Learn how to use statistical software for normal distribution analysis
  • Explore the Central Limit Theorem and its implications
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Students studying statistics, educators teaching normal distribution, and anyone looking to improve their understanding of probability and z-scores.

Chewy0087
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Statistics Question - Normal Distribution SOLVED

Homework Statement


Hey, the question is shown in the attached document.


Homework Equations


Mean = 79 Standard Deviation = 12


The Attempt at a Solution


I dispise these questions, and I'm failing to grasp them at all.

I've done the first two parts fine, but it's part c I'm struggling on.

I've tried using the z function getting me to;

P (Z \leq \frac{b}{12} ) - P ( Z \leq \frac{-a}{12} ) = 0.375

But I've got no idea what I'm doing :/ this question has totally thrown me, all of the methods I've used replacing the 2nd equation into the first have given me useless answers, I can usually do these questions fine, but I'm struggling here, any help would be great!
 

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never mind, got it, ridiculously easy AGAIN
 

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