SOLUTION: For a standard normal distribution, find: P(z > -0.78) Express the probability as a decimal rounded to 4 decimal places.

Algebra.Com
Question 1180521: For a standard normal distribution, find:
P(z > -0.78)
Express the probability as a decimal rounded to 4 decimal places.

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
There are two ways, calculator and tables.  I'll explain both.

If you have a TI-83 or TI-84 calculator and are allowed to use it,

press 2nd, then vars, then 2.  If your calculator is newer, you'll see the
"wizard" screen.  Make it read like this:

       normalcdf
lower:-0.78 
upper:99999999
μ:0
σ:1
Paste

Scroll down to Paste and press enter.
You will read

normalcdf(-0.78,99999999,0,1)

(If your calculator is old, make it read like the previous line):

Then press enter.

You will read
0.7823046313 
Round to 0.7823

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

There are two kinds of normal tables in use today.  If your table is like the one on this site:

http://www.z-table.com/

Find -.07 in the leftmost column headed z, then go across to the column
headed .08 and read the value .2177.  Since this table reads the area to
the left, this value is P(z < -0.78).  But we want P(z > -0.78), so we
must subtract from 1 and get 1-.2177 which is 0.7823.

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

If your table is like the one on this site:

 https://www.mathsisfun.com/data/standard-normal-distribution-table.html

Find 0.7 in the leftmost column headed z, then go across to the column
headed 0.08 and read the value 0.2823. Since this table reads area to the
right of the middle, this value is P(0.5 < z < 0.78).  By symmetry of the
normal curve, that is the same as P(-0.78 < z < 0.5).  But we want 
P(z > -0.78), so we must add 0.5 which is P(z > 0.5).  We get 0.5+0.2823
and get 0.7823.

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

Regardless of how you get it, the answer is 0.7823.

Edwin


RELATED QUESTIONS

For a standard normal distribution, find: P(1.54 < z < 2.76) Express the probability... (answered by MathLover1)
A class is given an exam. The distribution of the scores is normal. The mean score is 80... (answered by Boreal)
Let Z denote the random variable with the standard normal distribution. Find P(-1.56 < (answered by ikleyn)
A normal distribution has mean μ = 14.6 and standard deviation σ = 3.02.... (answered by Edwin McCravy)
Find the indicated probability given that Z is a random variable with a standard normal... (answered by MathLover1,math_tutor2020)
Let z be a random variable with a standard normal distribution. Find the indicated... (answered by Theo)
For a standard normal distribution ( μ=0 and σ=1), find c given P(Z > c) = 0.247,... (answered by ikleyn)
Calculate the area under the standard normal curve to the right of z = 0.23. Give your... (answered by ikleyn)
Use the standard normal distribution to calculate P(z< 2.46) and enter as a decimal... (answered by ewatrrr)