View the step-by-step solution to:


1.7.3. Second example computing an expected value. Consider a group of 12 television sets, two of which have white

cords and ten which have black cords. Suppose three of them are chosen at random and shipped to a care center. What are the probabilities that zero, one, or two of the sets with white cords are shipped? What is the expected number with white cords that will be shipped? It is clear that x of the two sets with white cords and 3-x of the ten sets with black cords can be chosen in 2 x × 10 3−x ways.

The three sets can be chosen in 12 3 ways.

So we have a probability mass function as follows. f(x) = P( X = x) = 2 x 10 3−x 12 3 for x = 0 , 1 , 2 (13)

For example f(x) = P(X = x) = 2 0 10 3−0 12 3 = (1) (120) 220 = 6 11 (14)

We collect this information as in table 4. TABLE 4. Probabilities for Television Problem x 0 1 2 f(x) 6/11 9/22 1/22 F(x) 6/11

Top 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