Determine the probability that a random variable

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SUMMARY

The discussion focuses on calculating the probability of a normally distributed random variable (X) with a mean (μ) of 20.15 and a standard deviation (σ) of 6.27 taking on a value less than 9.5. The standardized score was calculated as -1.698. To find the probability using a Casio ClassPad, users should access the stats program, navigate to the distribution section, and utilize the normal cumulative distribution function (normal CD) with the lower value set to negative infinity.

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  • Understanding of normal distribution concepts
  • Familiarity with standard score (z-score) calculations
  • Experience using Casio ClassPad calculators
  • Knowledge of cumulative distribution functions (CDF)
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  • Learn how to calculate probabilities using normal distribution in Casio ClassPad
  • Study the properties of normal distributions and their applications
  • Explore the use of statistical software for probability calculations
  • Understand the significance of z-scores in hypothesis testing
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Students in statistics, data analysts, and anyone needing to compute probabilities for normally distributed variables.

Sirsh
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Hello my question is stated below:

Task 3: Determine the probability that a random variable (X) having a normal distribution with μ = 20.15 and σ = 6.27 minutes will take on a value less than 9.5.

I've tried this:

Standardised score = (9.6-20.15)/6.27 = -1.698

Now i don't know how to find the pribability of this score on a stats sheet or using my casio classpad. does anyone else know how to do this?

Thank you.
 
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to do it on your casio classpad you can use the stats program. click on the calc dropdown, all the way at the bottom is distribution, click on that then you want to use normal CD, click next and use your lower value as -infinity then you should be able to figure the rest.
 


Pretty much finished the assignment before you replied lmao.
 

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