the principal of a school plans a school picnic for June 2. a few days before the event, the weather forecast predicts rain for June 2, so the principle decides to cancel the picnic. consider the following information.
in the school's town, the probability that it rains on any day in June is 3%.
when it rains, the forecast correctly predicts rain 90% of the time.
when it does not rain, the forecast incorrectly predicts rain 5% of the time.
let event a be the event that it rains on a day in June. let event b be the event that the forecast predicts rain. do you think the principal...

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