SOLUTION: Find the area under the normal distribution curve to the right of z = –1.03. Can you explain this for me?

Algebra ->  Algebra  -> Formulas -> SOLUTION: Find the area under the normal distribution curve to the right of z = –1.03. Can you explain this for me?      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 157889: Find the area under the normal distribution curve to the right of z = –1.03.
Can you explain this for me?
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
The normal distribution curve has the formula,
P%28z%29=%281%2Fsqrt%282%2Api%29%29e%5E%28%28-1%2F2%29%2Az%5E2%29%29
+graph%28+300%2C+300%2C+-5%2C+5%2C+-.5%2C+.5%2C+%280.3989%29%282.718%29%5E%28%28-1%2F2%29%2Ax%5E2%29%29
The area under the entire curve from z=-infinity to z=infinity
equals 1.
Since the curve is symmetric, the area at from z=-infinity to z=0 would be 1/2.
For the value of Z=-1.03, the area equals 0.1515.
There are tables that have values of area under the curve based on the z value.
Instead of tables, you can also use the EXCEL function NORMSDIST to calculate the value also (NORMSDIST(-1.03)=0.1515).