Sandip posted an Question
May 23, 2021 • 06:03 am 30 points
  • IIT JAM
  • Mathematical Statistics (MS)

Example: the distribution function of the random variable x is given by 0x<0 0x<1 f(x)= 1sx<2 3 2x<3 1 3x a graph of f(x) is presented in figure. compute (a) p{

Example: The distribution function of the random variable X is given by 0x<0 0x<1 F(x)= 1Sx<2 3 2x<3 1 3x A graph of F(x) is presented in Figure. Compute (a) P{X < 3}, (b) P{X = 1), (c) P(X> }, and (d) P{2< X s 4). F(x) 11 22 X 2 3 Fig. Graph of F(x) lim F3 Sol. (a) P{X 3) = limP Xs3- n n n (b) P{X 1} = P{X 1} - P{X < 1} -F1)-lim F 1 PX1-Pxs (c) = 1-F (d) P{2 X s 4} = F(4) - F(2) 1 12 539 pport@eduncle.com Call Toll Free: 1800-120-1021

1 Answer(s) Answer Now
  • 0 Likes
  • 1 Comments
  • 0 Shares
  • Anuj s. best-answer

    solution

    cropped465038789.jpg
    cropped640031479.jpg
    eduncle-logo-app

    how are you doing P(X<3) ??

    eduncle-logo-app

    see

    eduncle-logo-app

    I didn't get it can you please elaborate??by the second method the answer is coming different

    eduncle-logo-app

    in2nd image , i just an example

    eduncle-logo-app

    F(x=3) means P(x=<3)

    eduncle-logo-app

    P(x<3) means F(x=3-)

    eduncle-logo-app

    from where do we get these results ??

    eduncle-logo-app

    do you have idea about commutative distribution function

    eduncle-logo-app

    no

    eduncle-logo-app

    difference between f(x) and F(x)

    eduncle-logo-app

    I read it but not being able to understand

    eduncle-logo-app

    cdf?

    eduncle-logo-app

    https://youtu.be/l0ecMiNUZu8

    eduncle-logo-app

    from where to practice more such questions and how to understand what's written in the book

    eduncle-logo-app

    from any standard book of statistics , read under random variables topic

    eduncle-logo-app

    why are we doing by taking limits when we can simply do addition,P(X=0)+P(X=1)+P(X=2)=P(X<3)

    eduncle-logo-app

    where i take limit?

    eduncle-logo-app

    in the book's solution they have done taking limits

    eduncle-logo-app

    if you have any query related booklet,plz mail at support@eduncle.com

    eduncle-logo-app

    info@eduncle.com

    eduncle-logo-app

    any problem?

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers