Each day, a weather forecaster predicts whether or not it will rain. For 80% of rainy

Chapter 2, Problem 27

(choose chapter or problem)

Each day, a weather forecaster predicts whether or not it will rain. For \(80 \%\) of rainy days, she correctly predicts that it will rain. For \(90 \%\) of non-rainy days, she correctly predicts that it will not rain. Suppose that \(10 \%\) of days are rainy and \(90 \%\) are non-rainy.

a. What proportion of the forecasts are correct?

b. Another forecaster always predicts that there will be no rain. What proportion of these forecasts are correct?

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