LEC07 Discrete rv, pdf, & cdf

LEC07 Discrete rv, pdf, & cdf - A Discrete Random...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
A Discrete Random Variable, X, is a function that assigns a number to each outcome in sample space, S ex: flip a coin twice { } S HH TH HT TT = , . , r.v. X = number of heads Outcome r.v. X HH 2 TH 1 HT 1 TT 0 Possible values for r.v. X are 0, 1, and 2
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
You can define many random variables to a sample space, S Flip a coin; S = { hh, th, ht, tt } Define Mapping hh th ht tt r.v. X # of heads r.v. Y # of tails r.v. Z 0 if the same 1 if different r.v. W 0 if X=Y 1 if X Y 2
Background image of page 2
Example: One Situation And Many R.V.s Customers arrive to a counter and line up for service. There is a single waiting line, , four servers, and room for 25 customers to wait on line. Observe the system for an instant. Define Mapping Possible Values r.v. W number of customers waiting r.v. N number of customers in in the system r.v. F 0 if system is not full 1 if system is full r.v. I number of idle servers 3
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Probability Distribution of a Discrete r.v. X Experiment: Flip a coin two times Sample Space: S = {hh, tt, ht, th }
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/27/2011 for the course ECO 0031829 taught by Professor Na during the Spring '09 term at Rider.

Page1 / 12

LEC07 Discrete rv, pdf, & cdf - A Discrete Random...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online