You are Here: Home >< Maths

Geometric Distribution problem Watch

1. Suppose X and Y are independent random variables with the same geometric distribution, P[X=k]=P[X=y]=p*q^(k-1) for k>=1 where q=1-p

For any positive integer r, let Xr be such that P[Xr = k] = P[X-r = k l X >r]. Show that Xr is also geometrically distributed with parameter p.

ii) Find P[X=k l X+Y=n+1] where n>=1. What is this distribution?

For the first part, is P[Xr = k] = P[X=k+r l x>r] = pq^((k+r)-1) = P[Xr= (k+r)] sufficient?

Not sure about the second part

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: November 28, 2010
Today on TSR

Claims damages because he didn't get a first

Get ready! TSR's giving away free money

Discussions on TSR

• Latest
• See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

How to use LaTex

Writing equations the easy way

Study habits of A* students

Top tips from students who have already aced their exams

Chat with other maths applicants

Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.