SOLUTION: Determine the area under the standard normal curve that lies to the left of 1.97.

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Question 1206231: Determine the area under the standard normal curve that lies to the left of 1.97.
Found 2 solutions by math_tutor2020, MathLover1:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

You can use a Z table.
One such table is found here:
https://www.ztable.net/
The table should be found at the back of your stats textbook.
For exams, your teacher will likely hand them out if s/he intends you to use it.

Locate the row that starts with 1.9
Circle this row of values. Or use two pieces of paper to cover up the other rows. Make sure to not cover up the top row.
Highlight the column that has 0.07 at the top
The value at this row and column combo is roughly 0.97558
It means that P(Z < 1.97) = 0.97558 approximately
Around 97.558% of the area under the standard normal Z curve is to the left of z = 1.97



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If you want more accuracy, then you can use a stats calculator.
Here's an article talking about the normalCDF function on a TI84
https://www.statology.org/normal-probabilities-ti-84-calculator/
and here's another
https://www.usu.edu/math/cfairbourn/calculatorhelps/normalcdfti-84.pdf

Or you can use a spreadsheet. There are many other alternative methods.
Here's an article talking about the NormDist function on a spreadsheet.
https://support.microsoft.com/en-us/office/normdist-function-126db625-c53e-4591-9a22-c9ff422d6d58

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Using a Z-table or calculator, you will find the areas to the left are:
the area under the standard normal curve that lies to the left of 1.97 is 0.9756
https://www.wolframalpha.com/input?i=normal+cdf&assumption=%7B%22MC%22%2C+%22normal+cdf%22%7D+-%3E+%7B%22Formula%22%2C+%22dflt%22%7D&assumption=%7B%22F%22%2C+%22NormalProbabilities%22%2C+%22z%22%7D+-%3E%221.97%22
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