# Joint and Marginal Probability

Through a telephone survey, a low-interest bank credit card is offered to 400 households. The responses are as tabled.

Income = $40,000 Income > $40,000

Accept offer 40 30

Reject offer 210 120

a. Develop a joint probability table and show the marginal probabilities.

b. What is the probability of a household whose income exceeds $40,000 and who rejects the offer?

c. If income is < $40,000, what is the probability the offer will be accepted?

d. If the offer is accepted, what is the probability that income exceeds $40,000?

https://brainmass.com/math/probability/joint-marginal-probability-80298

#### Solution Summary

Joint and Marginal Probability are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.