Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

bibas

  • 2 years ago

Two fair dice are rolled. Let X be the difference between the numbers showing on the two dice. Find its pdf pX.? collage statistics , can u please show work

  • This Question is Closed
  1. DebbieG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, think about your sample space. there are 6^2=36 possible combinations of rolls (some have the same numbers showing). The possible outcomes (the difference between the numbers showing on the dice) are 0, 1, 2, 3, 4, 5. So you need to figure out the probability for each of the 6 outcomes, which is the number of ways that outcome can occur / 36 E.g. for X=0 you have the following rolls: 1, 1 2, 2 3, 3 4, 4 5, 5 6, 6 So P(0)=6/36 = 1/6 Now consider the possibilities for each of the other values for X, 1 - 5.

  2. DebbieG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    For X=1: 1, 2 2, 1 2, 3 3, 2 3, 4 4, 3 4, 5 5, 4 5, 6 6, 5 So P(1)=10/36 = 5/18 Remember, when you have done all the possible outcomes, the probabilities should sum to 1.

  3. bibas
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks

  4. bibas
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so up to how money time

  5. DebbieG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what???

  6. bibas
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no i mean to do the sum do i have to to next steps is with 2 then 3, 4, 5, 6 or just stop in 5th

  7. DebbieG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Your random variable X is "the difference between the numbers showing on the two dice". You can't roll 2 dice and have a difference of 6 (since you cant roll anything less than 1 or higher than 6). So you need to find the probabilities for 0, 1, 3, 4, and 5. I did the first two for you.

  8. bibas
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok thanks so much i get the idea now

  9. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.