
Probability and Statistics Basic Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
October 19th, 2015, 05:40 AM  #1 
Newbie Joined: Oct 2015 From: Australia Posts: 1 Thanks: 0  Continuous random variable
Hello everbody i was wondering if anyone could help me out today. My question is The continous random variable X represents the height in centimetres of a Year 12 male student. A teacher estimates that X possesses the density function f(x) = (348xx^229700)/18432 for 150 =< x =<198 0 elsewhere (a) By collecting suitable sufficient data, evaluate the accuracy of this teachers estimated model (empirical test). (b) Using this data to construct an accurate model of the probability density function possessed by X. Now this is my train of thoughts so far. What i have done is verified that this is a probability density function. This is true because this definite integral = 0. I also found the expected value of X which was (174) and also the variance of X which was (115.19992) What's confusing me is that how do i use say some data that i will collect soon to evaluate the model. How do you evaluate a model like this? Also, How do you also go about constructing a probability density function. Lets just use some radom heights just for the sake of me understanding. Take: 166.1 cm 173.5 cm 188.3 cm 180.4 cm 159.0 cm 163.2 cm 184.8 cm 188.8 cm can anyone help me use these random data to help me out here? 
October 19th, 2015, 02:39 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,628 Thanks: 622 
Compute the mean and variance of the data and compare with the theory. Also plot the data in histogram form and compare with the theoretic curve.


Tags 
continuous, random, variable 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Continuous Random Variables  Turismo  Advanced Statistics  2  May 20th, 2015 10:43 PM 
Continuous random variable  tayyeb  Probability and Statistics  6  March 19th, 2015 12:50 PM 
Question regarding continuous random variables  Sid  Probability and Statistics  2  May 4th, 2014 12:19 AM 
probability at a point for a continuous random variable  rsashwinkumar  Advanced Statistics  3  January 7th, 2013 04:25 PM 
Geometry & Continuous Random Variable Distribution  fin0c  Advanced Statistics  1  January 23rd, 2011 11:43 PM 