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.

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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

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