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

    2
    ReputationRep:
    I don't understand why obtaining the value 8.4126 and 8.8440 by subsitituting in 8.5 and 8.6 shows that the solution is between 8.5 and 8.6, also how do I choose which lambda to sub in?(the one in the equation or the one equal to the equation?)

    Unrelated but also in this paper, how do you show variance in graphs of continuous random variable? Name:  image.png
Views: 39
Size:  115.6 KB
    • Community Assistant
    Offline

    18
    ReputationRep:
    Community Assistant
    (Original post by Christina Tiana)
    I don't understand why obtaining the value 8.4126 and 8.8440 by subsitituting in 8.5 and 8.6 shows that the solution is between 8.5 and 8.6, also how do I choose which lambda to sub in?(the one in the equation or the one equal to the equation?)

    Unrelated but also in this paper, how do you show variance in graphs of continuous random variable? Name:  image.png
Views: 39
Size:  115.6 KB
    In part 9iii) You had to show that \lambda = 0.12e^k^\lambda

    If you use  e^-^\lambda. \frac{\lambda^2}{2!} = 0.0072

    and rearrange to find put it in the form  \lambda = 0.12e^k^y
    Spoiler:
    Show
     k =\frac{1}{2}
    then substitute \lambda = 8.5 and \lambda = 8.6

    when you substitute \lamdba = 8.5
     LHS < RHS
    adn when you substitute \lambda = 8.6
     LHS > RHS
    So there exists a value of \lambda between 8.5 and 8.6 such that  LHS = RHS
    Offline

    22
    ReputationRep:
    (Original post by Christina Tiana)
    I don't understand why obtaining the value 8.4126 and 8.8440 by subsitituting in 8.5 and 8.6 shows that the solution is between 8.5 and 8.6, also how do I choose which lambda to sub in?(the one in the equation or the one equal to the equation?)

    Unrelated but also in this paper, how do you show variance in graphs of continuous random variable?
    Do you remember your C3 stuff? Finding the roots of equations by numerical methods? One of them was showing that f(a) <0 and f(b) > 0 then there must exist a root between a and b? This is the same thing.
    • Thread Starter
    Offline

    2
    ReputationRep:
    (Original post by Zacken)
    Do you remember your C3 stuff? Finding the roots of equations by numerical methods? One of them was showing that f(a) <0 and f(b) > 0 then there must exist a root between a and b? This is the same thing.
    Yes I thought it was a numerical method but I didnt get a sign change, and I actually am quite confused on the topic anyway so I didn't get it, thank you!
 
 
 
  • 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
    Would you like to hibernate through the winter months?
    Help with your A-levels

    All the essentials

    The adventure begins mug

    Student life: what to expect

    What it's really like going to uni

    Rosette

    Essay expert

    Learn to write like a pro with our ultimate essay guide.

    Uni match

    Uni match

    Our tool will help you find the perfect course for you

    Study planner

    Create a study plan

    Get your head around what you need to do and when with the study planner tool.

    Study planner

    Resources by subject

    Everything from mind maps to class notes.

    Hands typing

    Degrees without fees

    Discover more about degree-level apprenticeships.

    A student doing homework

    Study tips from A* students

    Students who got top grades in their A-levels share their secrets

    Study help links and info

    Can you help? Study help unanswered threadsRules and posting guidelines

    Sponsored content:

    HEAR

    HEAR

    Find out how a Higher Education Achievement Report can help you prove your achievements.

    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.