In a given city it rains 25% of the days. A meteorologist has an 80% chance of getting his forecast right for sunny days, whil 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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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