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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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.
Transcribed Image Text: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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