## Define prior probability distributions for the following beliefs

Suppose you’re playing air hockey with some friends and flip a coin to see who starts with the puck. After playing 12 times, you realize that the friend who brings the coin almost always seems to go first: 9 out of 12 times. Some of your other friends start to get suspicious. Define prior probability distributions for the following beliefs:

• One person who weakly believes that the friend is cheating and the true rate of coming up heads is closer to 70 percent.

• One person who very strongly trusts that the coin is fair and provided a 50 percent chance of coming up heads.

• One person who strongly believes the coin is biased to come up heads 70 percent of the time.

### consider doing a market research study to forecast demand for the office units prior to beginning construction.

Dante Development Corporation is considering bidding on a contract for a new office building complex. Figure 4.17 shows the decision tree prepared by one of Dante’s analysts. At node 1,….

### Test the claim that there is a difference in times between two trials.

Mental measurements of young children are often made by giving them blocks and telling them to build a tower as tall as possible. One experiment of block building was repeated….

### Identify the distribution of X—name and parameter(s).

1. When local calls are made in NYC, 60% go through on the first try, and the rest get a busy signal. (We assume there is no third possibility). Let….