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

#t, show that a*0=a

show that a*0=a

Full asymptotic expansion , Consider the integral where the notatio...

Consider the integral where the notation means a contour that is parallel to the real z axis, but moved down by a distance d . Use the method of steepest descents to deri

Permatuation and combination problem, A student is allowed to select at mos...

A student is allowed to select at most n-blocks from a collection of (2n + 1) books. If the total number of ways in which he can select a book is 63, find the value of n. Solution

Geometric mean, When three quantities a, b and c are in G.P., t...

When three quantities a, b and c are in G.P., then the geometric mean "b" is calculated as follows. Since these quantities are in G.P., the r

Quick help for exam preparation, can you help me with entrance exam for uni...

can you help me with entrance exam for university ? i really need help so quick

Find integer if sum of two consecutive odd integers is -112, The sum of two...

The sum of two consecutive odd integers is -112. What is the larger integer? Two consecutive odd integers are numbers in order such as 3 and 5 or -31 and -29, that are each 2 n

Find solution to an equation or inequality, Illustrates that each of the fo...

Illustrates that each of the following numbers are solutions to the following equation or inequality. (a) x = 3 in x 2 - 9 = 0 (b) y = 8 in 3( y + 1) = 4 y - 5 Solution

Calculate expected average time , A car was machine washes every car in 5 m...

A car was machine washes every car in 5 minutes accurately. It has been calculated that customers will arrive as per to a Poisson distribution at an average of 8 per hour. Calculat

Help with word problem, You would like to have $4000 in four years for a sp...

You would like to have $4000 in four years for a special vacation following graduation by making deposits at the end of every 6 months in an annuity that pays 7% compounded semiann

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