Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Normal Distribution
Figure 1
The normal distribution reflects the various values taken by many real life variables like the heights and weights of people or the marks of students in a large class. In all these cases a large number of observations are found to be clustered around the mean value m and their frequency drops sharply as we move away from the mean in either direction. For example, if the mean height of an adult in a city is 6 feet then a large number of adults will have heights around 6 feet. Relatively a few adults will have heights of 5 feet or 7 feet.
Further, if we draw samples of size n (where n is a fixed number over 30) from any population, then the sample mean will be (approximately) normally distributed with a mean equal to m i.e. the mean of the population.
The characteristics of normal probability distribution with reference to the above figure are
The curve has a single peak; thus it is unimodal.
The mean of a normally distributed population lies at the center of its normal curve.
Because of the symmetry of the normal probability distribution, the median and the mode of the distribution are also at the center.
The two tails of the normal probability distribution extend indefinitely and never touch the horizontal axis.
If s is the standard deviation of the normal distribution, 80% of the observation will be in the interval m -1.28s to m + 1.28s.
Figure 2
95% of the observations will be in the interval m - 1.96s to m + 1.96s.
Figure 3
98% of the observations will lie in the interval m - 2.33 s to m + 2.33 s. Figure 4
98% of the observations will lie in the interval m - 2.33 s to m + 2.33 s.
Figure 4
The Standard Normal Distribution is a normal distribution with a mean m = 0 and a standard deviation s = 1. The observation values in a standard normal distribution are denoted by the letter Z.
6 male students and 3 female students sit around a round table. The probability that no 2 female students sit beside each other can be expressed as a/b, where a and b are coprime p
We have to enclose a field along with a fence. We contain 500 feet of fencing material & a building is on one side of the field & thus won't require any fencing. Find out the dime
???? ????? ??????? ?? ????? ??? ?? ????? ??????? ??????
la expresión que permite calcular el radio medio de la órbita de cada planeta es?
What is input - output analysis?
At a bakery the cost of 30 experts is 45$. Write an equation that shows the cost of 45 cookies
Surface Area- Applications of integrals In this part we are going to look again at solids of revolution. We very firstly looked at them back in Calculus I while we found the
We want to find the integral of a function at an arbitrary location x from the origin. Thus, where I(x=0) is the value of the integral for all times less than 0. (Essenti
The law of cosines can only be applied to acute triangles. Is this true or false?
how do you convert ft to yds, yds to in,and etr
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd