Question 4.99

4.99 How large are households?

Choose an American household at random, and let be the number of persons living in the household. If we ignore the few households with more than seven inhabitants, the probability model for is as follows:

Household size 1 2 3 4 5 6 7
Probability 0.27 0.33 0.16 0.14 0.06 0.03 0.01
  1. Verify that this is a legitimate probability distribution.
  2. What is ?
  3. What is ?
  4. What is ?
  5. What is ?
  6. Write the event that a randomly chosen household contains more than two persons in terms of . What is the probability of this event?

4.99

(a) Verify that probabilities add to 1. All probabilities are between 0 and 1. (b) 0.10. (c) 0.04. (d) 0.30. (e) 0.73. (f)