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.
What is Angles? An angle is made up of two rays with a common endpoint, which is called the vertex. The sides of the angle are rays. An angle is denoted by "θ". When two li
I am student of M.com and also doing practice to crack bank or other competitive exam..please tell me shortcuts
Limits The concept of a limit is fundamental in calculus. Often, we are interested to know the behavior of f(x) as the independent variable x approaches some
how to remove wild points in a data set...
prove angle MJL is congruent to angle KNL
We have independent observations Xi, for i = 1, . . . , n, from a mixture of m Poisson distributions with component probabilities d c and rates l c, for c = 1, . . . ,m. We decid
Ask question #Minimum 100 words accepted linear algebra
#There is a balance of $1,234 and this person receive a refund check in the amount of $25 with her paycheck that was deposited into her account for $1500 which made her balance $27
Can someone please help me grasp the concept of angles of depression and elevation?
verify liouville''s theorem for y''''''-y''''-y''+y=0
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