# Question

The coming year is expected to be a good one with probability 0.70. Given that it is a good year, you expect that a dividend will be declared with probability 0.90. However, if it is not a good year, then a dividend will occur with probability 0.20.

a. Draw a probability tree for this situation, with the most appropriate choice for the first branch.

b. Find the probability that it is a good year and a dividend is issued.

c. Find the probability that a dividend is issued.

d. Find the conditional probability that it is a good year, given that a dividend is issued.

a. Draw a probability tree for this situation, with the most appropriate choice for the first branch.

b. Find the probability that it is a good year and a dividend is issued.

c. Find the probability that a dividend is issued.

d. Find the conditional probability that it is a good year, given that a dividend is issued.

## Answer to relevant Questions

You are operations manager for a plant that produces copy machines. At the end of the day tomorrow, you will find out how many machines were produced and, of these, how many are defective. a. Describe the random experiment ...Your company sends out bids on a variety of projects. Some (actually 30% of all bids) involve a lot of work in preparing bids for projects you are likely to win, while the others are quick calculations sent in even though ...You have followed up on people who received your catalog mailing. You found that 4% ordered the hat and 6% ordered the mittens. Given that they ordered the hat, 55% also ordered the mittens. a. What percentage ordered both ...You are responsible for a staff of 35 out of the 118 workers in a rug-weaving factory. Next Monday a representative will be chosen from these 118 workers. Assume that the representative is chosen at random, without regard to ...a. What is a random variable? b. What is the difference between a random variable and a number?Post your question

0