Question 1204317
Answer:  <font color=red size=4>0.2506</font>


Explanation


As one method, you can use a table similar to what is described in this previous question
<a href="https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1204309.html">https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1204309.html</a>
But you'll need to convert each raw score to a z score.
Use the formula:  z = (x - mu)/sigma


Or you can use a TI83/TI84
<a href="https://www.statology.org/normal-probabilities-ti-84-calculator/">https://www.statology.org/normal-probabilities-ti-84-calculator/</a>
The input would be <font color=blue>normalCDF(41,116,10,50)</font>
The template in general is <font color=blue>normalCDF(lower,upper,mean,standard deviation)</font>


The result of that calculation is approximately 0.2506258718 which rounds to <font color=red>0.2506</font>


Or you can use this stats calculator that provides a diagram
<a href="https://davidmlane.com/normal.html">https://davidmlane.com/normal.html</a>
*[illustration Screenshot_326.png]
If you use WolframAlpha, be careful that the diagram shown on WolframAlpha is not correct. The normal distribution curve should be entirely above the x axis. Refer to the first link for a comparison of what I mean. 
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