The following table provides a 14-day record of weather conditions and whether or not golf was played on each day.

(a) Compute the associated training set.

(b) Determine the decision whether or not golf should be played tomorrow for the given weather forecast.

(c) Compute the posterior probabilities associated with (b).

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Day 12345 6 7 8 9 10 11 12 13 14 Tomorrow's forecast Outlook rainy rainy overcast sunny sunny sunny overcast rainy rainy sunny rainy overcast overcast sunny sunny Temperature hot hot hot mild cool cool cool mild cool mild mild mild hot mild mild Humidity high high high high normal normal normal high normal normal normal high normal high high Windy? Play Golf? N N Y Y Y no yes no no no yes yes no no no yes yes no yes no N Y N Y Y Y Y Y N ?