SOLUTION: A variable is normally distributed with mean 22 and standard deviation 3. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Roun

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: A variable is normally distributed with mean 22 and standard deviation 3. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Roun      Log On


   

Question 1170958: A variable is normally distributed with mean 22 and standard deviation 3. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed.
a) Find the area to the left of 24.
b) Find the area to the left of 16.
c) Find the area to the right of 21.
d) Find the area to the right of 28.
e) Find the area between 16 and 30.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
mean = 22
standard deviation = 3

area to the left of 24 = .74751
area to the left of 16 = .02275
area to the right of 21 = .63056
area to the right of 28 = .02275
area between 16 and 30 = .97342

i used the following z-score calculator to get these results.
https://www.calculator.net/z-score-calculator.html

the results from the calculator are shown below:

area to the left of 24 = .74751



area to the left of 16 = .02275



area to the right of 21 = .63056



area to the right of 28 = .02275



area to the left of 30 = .99617



the rea between 16 and 30 is the area to the left of 30 minus the area to the left of 16.

that would be .99617 minus .02275 = .97342.

i verified with my ti-84 plus calculator that these values are correct.