<PRE><B>Question 1203184</B>
.
Find z if
	
a) the normal curve area between 0 and z is 0.4884

b) the normal curve area to the right of z is 0.8665

Please help! Thank you. 
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&lt;pre&gt;
(a)  If the normal curve area between 0 and z is 0.4884,
     then the normal curve area on the left of z is 0.5 + 0.4885 = 0.9885.


     To find z, use the standard function invNorm in your regular calculator 
     TI-83 or TI-84

                     area    mean SD   &lt;&lt;&lt;---===  formatting pattern
         z = invNorm(0.9885, 0,   1).


     Alternatively, you may use free of charge online calculator
     https://onlinestatbook.com/2/calculators/inverse_normal_dist.html


     With TI-83 or TI-84, you have

                        area   mean   SD     &lt;&lt;&lt;===--- formatting pattern
          z = invNorm( 0.9885, 0.0,   1) = 2.2734.   &lt;U&gt;ANSWER&lt;/U&gt;


     With online calculator, you have the same answer PLUS a complete visual explanations
     on what you do, what the calculator does for you and why it is correct.



(b)  if the normal curve area to the right of z is 0.8665, then
        the normal curve area to the left  of z is 1-0.8665 = 0.1335.


     To find z, use the standard function invNorm in your regular calculator 
     TI-83 or TI-84

                     area    mean SD   &lt;&lt;&lt;---===  formatting pattern
         z = invNorm(0.1335, 0,   1).


     Alternatively, you may use free of charge online calculator
     https://onlinestatbook.com/2/calculators/inverse_normal_dist.html


     With TI-83 or TI-84, you have

                        area   mean   SD     &lt;&lt;&lt;===--- formatting pattern
          z = invNorm( 0.1335, 0.0,   1) = -1.11.   &lt;U&gt;ANSWER&lt;/U&gt;


     With online calculator, you have the same answer PLUS a complete visual explanations
     on what you do, what the calculator does for you and why it is correct.
&lt;/pre&gt;

Solved, with complete explanations.


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To learn more on standard functions normalcdf and invNorm, look into these Internet web-sources


https://www.tcc.fl.edu/media/divisions/learning-commons/resources-by-subject/math/statistics/Choosing-whether-to-use-normalcdf-or-invNorm.pdf


https://courses.lumenlearning.com/introstats1/chapter/using-the-normal-distribution/




</PRE>