Turn on thread page Beta
    • Thread Starter
    Offline

    1
    ReputationRep:
    Hi, I've been given a problem and am struggling to get started as I don't know what lower case z represents. If you could take a look it would be much appreciated.

    Thanks
    Attached Images
     
    Offline

    13
    ReputationRep:
    (Original post by Substitution)
    Hi, I've been given a problem and am struggling to get started as I don't know what lower case z represents. If you could take a look it would be much appreciated.

    Thanks
    z is just an arbitrary number in (0,1).
    • Thread Starter
    Offline

    1
    ReputationRep:
    Name:  image.jpg
Views: 33
Size:  302.4 KB

    Not sure where to go with the problem from here. I've attached my workings, thanks!
    Offline

    22
    ReputationRep:
    (Original post by Substitution)
    Name:  image.jpg
Views: 33
Size:  302.4 KB

    Not sure where to go with the problem from here. I've attached my workings, thanks!
    Since your pdf is 0 everywhere except for (0,1) then integrating from -\infty is the same as integrating from 0 \,.
    Offline

    14
    ReputationRep:
    (Original post by Substitution)
    Name:  image.jpg
Views: 33
Size:  302.4 KB

    Not sure where to go with the problem from here. I've attached my workings, thanks!
    You've got the fact that P(Y <= z) = P(X <= z, Y <= z). But you are given the fact that X and Y are independent, so you can simplify the right hand side immediately without any thought of integrals. Then express this simplification in terms of cumulative distribution functions.
 
 
 

University open days

  1. University of Bradford
    University-wide Postgraduate
    Wed, 25 Jul '18
  2. University of Buckingham
    Psychology Taster Tutorial Undergraduate
    Wed, 25 Jul '18
  3. Bournemouth University
    Clearing Campus Visit Undergraduate
    Wed, 1 Aug '18
Poll
How are you feeling in the run-up to Results Day 2018?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

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

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