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 all days are rainy and 90% of all days are not rainy.(a) what proportion of the forecasts are correct? (b) another forecaster always (100%) predicts that there will be no rain. what proportion of these forecasts are correct?