Statistical Sciences 2141A/B Lecture Notes - Lecture 18: Location Parameter, Scale Parameter, Random Variable

• School: Western University
• Department: Statistical Sciences
• Course: Statistical Sciences 2141A/B
• Professor: Joe Raaymakers

Document Summary

The normal function is just the standard bell curve which we"ve been seeing all along. The normal distribution is the most important of all continuous probability distributions. Many populations have distributions that can be fit closely by the normal distribution including heights, weights and other physical characteristics, measurement errors in experiments, scores on various tests and numerous economic measures. Additionally, for individual variables that are not normally distributed, the sums and averages of the variables are normally distributed. A normal or gaussian random variable x has the pdf. It has a state space - < x < (but near it tails off fairly quickly so there"s relatively no data at the extremes) We de(cid:374)ote that x is a (cid:374)o(cid:396)(cid:373)al (cid:396)(cid:448) (cid:271)(cid:455) x ~ n(cid:894) , (cid:1006) (cid:895) (cid:449)he(cid:396)e (cid:1006) > (cid:1004) a(cid:374)d - < < . The pdf is bell-shaped a(cid:374)d s(cid:455)(cid:373)(cid:373)et(cid:396)i(cid:272) a(cid:271)out .