H3. In a given city it rains 25% of the days. A meteorologist has an 80% chance of getting his forecast right for sunny days, while for rainy days this probability drops to 60%. For a randomly chosen day, find the probability that: (a) the meteorologist is correct in his forecast for that city. (b) it rains in that city, since the forecast is for rain.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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H3. In a given city it rains 25% of the days. A meteorologist has an 80% chance of getting his forecast right for sunny days, while for rainy days this probability drops to 60%. For a randomly chosen day, find the probability that: (a) the meteorologist is correct in his forecast for that city. (b) it rains in that city, since the forecast is for rain.
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