Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    0
    ReputationRep:
    Hello......I always confuse the rules of using continuity correction. On my textbook, P(X ≤ n)≈P(Y < n+0.5), P(X ≥ n)≈P(Y ≥ -0.5). And the example on the book, P( a ≤ X < b ) ≈ P( (a - 0.5) ≤ Y < (b + 0.5) )、 P( a ≤ X ≤ b ) ≈ P( (a - 0.5) ≤ Y ≤ (b + 0.5) )


    But according the information that I found on the internet,

    P( Xb < x) ≈ P( Xn < (x - 0.5) )
    P( Xb > x) ≈ P( Xn > (x + 0.5) )
    P( Xb ≤ x) ≈ P( Xn ≤ (x + 0.5) )
    P( Xb ≥ x) ≈ P( Xn ≥ (x - 0.5) )
    P( Xb = x) ≈ P( (x - 0.5) < Xn < (x + 0.5) )
    P( a ≤ Xb ≤ b ) ≈ P( (a - 0.5) < Xn < (b + 0.5) )
    P( a ≤ Xb < b ) ≈ P( (a - 0.5) < Xn < (b - 0.5) )
    P( a < Xb ≤ b ) ≈ P( (a + 0.5) < Xn < (b + 0.5) )
    P( a < Xb < b ) ≈ P( (a + 0.5) < Xn < (b - 0.5) )


    There're some differences of the signs " < > ≤ ≥" between the textbook and the online information.

    Can someone give me a hand? Thx~^^
    • Study Helper
    Offline

    0
    ReputationRep:
    Study Helper
    A picture is worth a thousand words.
    • Thread Starter
    Offline

    0
    ReputationRep:
    Thx for your help...but would you pls explan in more detail?
    • Study Helper
    Offline

    0
    ReputationRep:
    Study Helper
    (Original post by ki_ki_ki)
    Thx for you help...but would you pls explan in more detail?
    Let's say X is discrete and Y is continuous and that Y can be used to approximate X.

    If you need, for example to find P(X<20) then you need to consider two sets of numbers, everything \le 19 and everything \ge 20.

    What number falls between those two sets?
    • Thread Starter
    Offline

    0
    ReputationRep:
    Is 19.5?
    • Study Helper
    Offline

    0
    ReputationRep:
    Study Helper
    (Original post by ki_ki_ki)
    Is 19.5?
    Yes.
 
 
 
  • 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
    Brussels sprouts
    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
  • 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

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