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

Determine the solution to initial value problem, Find the solution to the s...

Find the solution to the subsequent IVP. ty' - 2y = t 5 sin(2t) - t 3 + 4t 4 , y (π) = 3/2 π 4 Solution : First, divide by t to find the differential equation in the accu

Find the least number that is divisible by all numbers, Find the  leas...

Find the  least  number that  is  divisible by all  numbers between 1  and  10  (both inclusive). Ans: The required number is the LCM of 1,2,3,4,5,6,7,8,9,10 ∴ LCM = 2  × 2

Subtraction - vector arithmetic, Subtraction - Vector arithmetic Compu...

Subtraction - Vector arithmetic Computationally, subtraction is very similar.  Given the vectors a → = (a 1 , a 2 , a 3 ) and b → = (b 1 , b 2 , b 3 ) the difference of the t

Luis runs rate of 11.7 feet per second how far does he run, Luis runs at a ...

Luis runs at a rate of 11.7 feet per second. How far does he run in 5 seconds? You must multiply 11.7 by 5; 11.7 × 5 = 58.5. To multiply decimals, multiply generally, then coun

Find out the next number 320, Find out the next number in the subsequent pa...

Find out the next number in the subsequent pattern. 320, 160, 80, 40, . . . Each number is divided by 2 to find out the next number; 40 ÷ 2 = 20. Twenty is the next number.

Definition of logarithms, Q. Definition of Logarithms? Ans. A loga...

Q. Definition of Logarithms? Ans. A logarithm to the base a of a number x is the power to which a is raised to get x. In equation format: If x = a y , then log a  x

Equivalence class and equivalence relation, 1. For a function f : Z → Z, le...

1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc

How many people said that red was their favorite color, In a recent survey ...

In a recent survey of 700 people, 15% said that red was their favorite color. How many people said that red was their favorite color? Find out 15% of 700 through multiplying 70

Derive expressions for the mean and variance, On each day t of n days, N cu...

On each day t of n days, N customers of a supermarket were sampled and the number Xt expressing dissatisfaction was recorded. The results suggested that there were good and bad day

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