Standard normal distribution, Mathematics

Assignment Help:

Q. Describe Standard Normal Distribution?

Ans.

The Standard Normal Distribution has a mean of 0 and a standard deviation of 1. The letter Z is often used to refer to a standard normal random variable.

Note that, although many applications in the real world have a normal distribution, rarely does anything in the real world follow a standard normal distribution. This is a convenient distribution that can be used (after some transformations) for ANY normal distribution. In the following examples, we will work through finding probabilities for a standard normal random variable.

Click here to see a table with probabilities for the standard normal distribution.

The area under the curve, the shaded area in this diagram, represents the probability of a normally distributed random variable obtaining a value less than z,1391_Standard Normal Distribution1.gif.

735_Standard Normal Distribution.gif

The entries in the table are the probabilities that a random variable having the standard normal distribution assumes a value less than z.


Related Discussions:- Standard normal distribution

Evaluate performance of mental arithmetic maths, E 1) Try the two activitie...

E 1) Try the two activities detailed above with a few children around you Evaluate whether they really helped to improve the children's performance of mental arithmetic. Anot

Linear programming , Use the simplex method to solve the following LP Probl...

Use the simplex method to solve the following LP Problem. Max Z = 107x1+x2+2x3 Subject to 14x1+x2-6x3+3x4=7 16x1+x2-6x3 3x1-x2-x3 x1,x2,x3,x4 >=0

Evaluate indefinite integrals, Evaluate following indefinite integrals. ...

Evaluate following indefinite integrals.  (a) ∫ 5t 3 -10t -6 + 4 dt  (b) ∫ dy Solution  (a) ∫ 5t 3 -10t -6 + 4 dt There's not whole lot to do here other than u

Integral test- harmonic series, Integral Test- Harmonic Series In ha...

Integral Test- Harmonic Series In harmonic series discussion we said that the harmonic series was a divergent series.  It is now time to demonstrate that statement.  This pr

Smith keeps track of poor work, Smith keeps track of poor work. Often on af...

Smith keeps track of poor work. Often on afternoon it is 5%. If he checks 300 of 7500 instruments what is probability he will find less than 20 substandard?

PARCC Practice Book, Ask question #Minimum 100 words acceptThe top of Kevi...

Ask question #Minimum 100 words acceptThe top of Kevin''s dining room table is 4 feet long, and 3 feet wide. Kevin wants to cover the middle of the table with tiles. He plans to le

Derive the hicksian demand function using indirect utility , (a) Derive the...

(a) Derive the Marshalian demand functions and the indirect utility function for the following utility function: u(x1, x2, x3) = x1 1/6 x2 1/6 x3 1/6    x1≥ 0, x2≥0,x3≥ 0

Class 10, The value of K for (k+1)x^2-2(k-1)x+1 = 0 has real and equal root...

The value of K for (k+1)x^2-2(k-1)x+1 = 0 has real and equal roots.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd