Question

basic statistics

Question 1. Why is normal distribution important for many application and actually should we be dependent of normal distribution or not? Should we be independent? Combine this approach with parametric distributions.

Answer 1

ot para metric more over maken normal distributio. since alormal distribution plays alccal role on Voimae distribution pbys a a very important role u Statistical theory because of many geniony & most the elistribution lise binomial poliston hyper geomtoíc distifkcutions etc can be appoorimated to clormal distribution the central limit theorem allows any large data following any distribution whose sample statistics like sum & mean to have normal distribution Then they very popular among other clistribution: 1) Even though a variable is not normally distributed it can some times be brought to normal toom by simple transtormation of variabl in The area property of normal distribution or Pfiz1c3] =0.0027 tome the basis of entire large Simple theory of precisely Testing of hypothesis the enterie theory of small sample Clormality assumption of the statistical conderience Dart we can only more tornard by depending on normai distribution It would be diftically without using normal clistribu. so it is not wise to be completely independent malae some other theory on texts resets population. the and

one which connect) all the Cential limit theory in the parameteric distribution with then approach It goes like this consides a random sample of large size C>30) from any parametric distribution or ang population whose distribution is unknown sample sum follows plormal distribution Ayo the sample mean tollows alormal distributi Then the Note : colormality assumption is used in many statistical techiques like, regression, statistical Quality control, time series analysis ete: