Question

Discuss the reason for using known distributions like the Binomial, Uniform, Normal, t, Chi-squared, F. You can use what you learned from the earlier material. You don't have to address each particular distribution Give a general over-view only. Two sentences at least please.

Answer 1

Binomial distribution deals with two possible outcome which is either success denoted with p or failure denoted with 1-P=q. And it is said to be dichotomous in nature. Uniform distributions: gives all it's value equal probability of occurrence and we have discrete and continuous uniform distribution. Normal distribution is a bell shape structure. Normal distribution is a kind of distribution with a real value random variable and it is applied when the sample size is large i.e n>30. T-distribution is similar to normal distribution but with heavier tail and it is called students t-distribution and it is applied when we have small sample size i.e n<30. Chi-square is a measure of discrepancy between the observed frequency and expected frequency. It is used to study relationship or association between two categorical variables with degree of freedom n-1. F distribution is a ratio of two variances and is usually used in analysis of variance.