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.
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...
Related questions
Question
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON