View the step-by-step solution to:

26. Let x represent the number of underinflated tires on an automobile. (a) Which of the following p(x) functions specifies a legitimate distribution...

26. Let x represent the number of underinflated tires on an automobile.


(a) Which of the following p(x) functions specifies a legitimate distribution for x, and why are the other two not legitimate?

(i) p(0) = 0.3, p(1) = 0.2,  p(2) = 0.1, p(3) = 0.05, p(4) = 0.05

(ii) p(0) = 0.4, p(1) = p(2) = p(3) = 0.1, p(4) = 0.3

(iii) p(x) = 0.2(3-x) for x = 0, 1, 2, 3, 4


(b) For the legitimate distribution of part (a), determine the long-run proportion of cars having at most two underinflated tires, the proportion of cars having fewer than two underinflated tires, and the proportion having at least one underinflated tire.  

Top Answer

(a) For a legitimate distribution for x , it must satisfy the following conditions. 1) p(x)  ≥  0 2)  ∑  p(x)... View the full answer

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

-

Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Ask a homework question - tutors are online