SOLUTION: For a standard normal distribution ( μ=0 and σ=1), find c given P(Z > c) = 0.247, please show your answer to 2 decimal places. c =

Algebra.Com
Question 1191096: For a standard normal distribution ( μ=0 and σ=1), find c given P(Z > c) = 0.247,
please show your answer to 2 decimal places.
c =

Answer by ikleyn(52898)   (Show Source): You can put this solution on YOUR website!
.
For a standard normal distribution ( μ=0 and σ=1), find c given P(Z > c) = 0.247,
please show your answer to 2 decimal places.
c =
~~~~~~~~~~~~~~~~


The standard normal distribution is described by the standard bell shaped curve.

You are given the area value of  0.247  under this curve,  and they want you find the value of  "c"  such
that the area under the curve on the right of this value be  0.247.

Use the online  "inverse normal distribution calculator"  at web-site
https://onlinestatbook.com/2/calculators/inverse_normal_dist.html


It has clear design and instructions,  as well as intuitively clear visual interface,
which prevents you of making errors.

Your options are  mean= 0,  sd = 1,  area= 0.247,  "above".

The calculator gives the answer  c= 0.684.

You may round it to  c= 0.68,  as requested.


Alternatively,  you can use the pocket calculator to do this job.

On how to use it,  see this video-lesson
https://www.youtube.com/watch?v=RPzxs-Hd8s0


Or you can do it manually,  using the  Table  Values  Representing  AREA  to the  LEFT  of the  Z-score
https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf

On how to do it,  see this Internet text source
http://statisticshelper.com/how-to-use-the-z-table

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

Solved.



RELATED QUESTIONS

Find the indicated probability given that Z is a random variable with a standard normal... (answered by MathLover1,math_tutor2020)
For a standard normal distribution, find: P(z > c) = 0.6892 Find... (answered by CPhill)
For a standard normal distribution P(z > c) = 0.309 Find... (answered by Theo)
For a standard normal distribution, find: P(z > c) =... (answered by Edwin McCravy)
For a standard normal distribution, given: P(z < c) = 0.7301 Find... (answered by Boreal)
Could someone help me to understand how you get the answer to the problems leisted. I... (answered by Fombitz,stanbon)
For a standard normal distribution, find: P(z > c) = 0.2464 and P(z < c) = 0.9798... (answered by Edwin McCravy)
For a standard normal distribution, find: P(z > c) = 0.2464 and P(z < c) = 0.9798... (answered by stanbon)
1. If the random variable z is the standard normal score, is it true that P(-3 < z < 3) > (answered by Fombitz)