Question

INSTRUCTIONS: ANSWER SHOULD NOT BE MORE THAN 2 PAGES Q11. Discuss applications of continuous probability distribution in your own words. (You must include definition, figure, brief literature review, applications and references). 151

Answer 1

Continuous probablity Distribution Defination Consider small interval (extda) of length dhe Continous funtion of x. fal for dae represents probability to lies E x++) infinite small Interval - fraudze yfo probability cure atda x P (* ***+2) freelde there are two type 1. probability finite continous probability Infinite continou probability finite continuous probability P lasesb) = & fende {p- probability infinite continuous probability Pleasesto) s feridas property felzo Ś faida = 1 848 1/3 i

if azbec 9 Pasasa) = s fraidze Ple=C) = 0 Example feed= per then lo Rote X29 fa=0 fapie forso asb 22b 29 x=b cdf or continuous distribution function Fo= P(xsx) = so feeste - -639523b . F) = P (asb) = s feuda 9 g fonda at J Paide Plxb) = PCX59) + ſ fazla ſter Plesb) – Plesa) = f freeds b fib)- Flau = S fayde property OS FU) 4 F (e) = lim s feoda Fas वर = F) Fx220 = 3 feoda 3 F6%) = lim Ś frate=0 * F=) 2/3 i

fe is continuous right Continouous distribution O 6 Normal continous distribution Exponential Distribution Distribution distribution 3 Bet Gemma of 45 Application of of continous probability distribution continuous probability distribution has orge numbeas application, This is commonly in statistical quality control, This phenomenon is widely used to study where normality is involved. most of distribution like binomial Roisson approximated with the help this distribution, are References 1 2 mathematical statistics by gokhroo's havkar prakashan probability Theory by markus Hochstotter probability distribution by Evans, Brian Reacock, 3 statistical distribution by John ܟܦܐܝ & son, 3/3 i