Suppose we are given the following table of data with the conditions for our friend playing a game of chess with us in a park outside:
Temperature |
Wind |
Sunshine |
Play |
Cold |
Strong |
Cloudy |
No |
Warm |
Strong |
Cloudy |
No |
Warm |
None |
Sunny |
Yes |
Hot |
None |
Sunny |
No |
Hot |
Breeze |
Cloudy |
Yes |
Warm |
Breeze |
Sunny |
Yes |
Cold |
Breeze |
Cloudy |
No |
Cold |
None |
Sunny |
Yes |
Hot |
Strong |
Cloudy |
Yes |
Warm |
None |
Cloudy |
Yes |
Warm |
Strong |
Sunny |
? |
We would like to find out using Bayes' theorem whether our friend would like to play a game of chess with us in the park given that the temperature is warm, the wind is strong, and it is sunny.
Analysis:
In this case, we may want to consider temperature, wind, and sunshine as the independent random variables. The formula for the...