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.
Explain Pie Charts ? If the frequencies are written as percentages, they can be easily compared using a pie chart. The following is an example of a pie chart using the data fr
how do they solve log9 = ... 27
how to divide an arc in three equal parts
Q. What are Inclusive Events? Ans. Events that can occur at the same time are called inclusive events. For example, a student can belong to more than one club at one time
theory about solving sequencing problem using graphical method
sum of sine series
draw a equilateral triangle with length of side 6.5 cm. and let us draw a parallelogram equal in area to that triangle and having an angle 45 degree
how do i round off $5.00 to the nearest 10
If ABC is an obtuse angled triangle, obtuse angled at B and if AD⊥CB Prove that AC 2 =AB 2 + BC 2 +2BCxBD Ans: AC 2 = AD 2 + CD 2 = AD 2 + (BC + BD) 2 = A
Brewery has 12 oz bottle filling machines. Amount poured by machine is normal distribution mean 12.39 oz SD 0.04 oz. Company is interested in in reducing the amount of extra beer
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