5. On an average day 2.5% of the people walking down your street purchase coffee from your beverage stand. You read an article suggesting the number of people choosing to drink coffee doubts when the outside temperature drops below 50 degrees. You quickly find that 75 out of 365 days have a temperature of 50 degrees or below. Use the new information to the population the table below. Let P(A1) be the probability of a rainy day. (Show your work)
| (1) | (2) | (3) | (4) | (5) |
| Events | Prior Probabilities | Conditional Probabilities | Joint Probabilities | Posterior Probilities |
| Ai | P(Ai) | P(B\Ai) | P(Ai I B) | (PAi \B) |
| A1 | ||||
| A2 | 100 | |||
| P(B)=.025 | 1.0000 |
5. On an average day 2.5% of the people walking down your street purchase coffee from...