SOLUTION: A normal distribution has a mean of 36 and a standard deviation of 8. Calculate the probability that an element selected from the population is: a. < 25 b. > 33 c. Between 22

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Question 354694: A normal distribution has a mean of 36 and a standard deviation of 8. Calculate the probability that an element selected from the population is:
a. < 25
b. > 33
c. Between 22 and 35
d. > 36
e. Between 21 and 27

Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!


a.	< 25

If you have a TI-83 or 84,
 
From the cleared main screen
 
Press 2ND
Press VARS
Press 2
 
you will see this on the screen -->  normalcdf(
 
after that type -999999999,25,36,8) so that you see this on the
screen --->  normalcdf(-999999999,25,36,8)
 
[If you can't find the comma key it is the key just to the right of x2).
 
Press ENTER
 
You will see .0845657788.

------------------

b.	> 33

Like above except use this instead

normalcdf(33,999999999,36,8)
 
You will get .6461697127

------------------------------

c.	Between 22 and 35

Like above except use this instead

normalcdf(22,35,36,8)
 
You will get .4102026207

---------------------------------

d.	> 36

Like above except use this instead

normalcdf(36,999999999,36,8)
 
You will get .4999999995

You really did not have to calculate this because the
area greater than the mean is always .5


If you are not allowed to use a calculator, then you must go through
the long process of finding the z-scores with a formula
and looking up in a table. 
Edwin

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