Suppose that in a certain small town it either rains or IS sunny every day. A meteorologist notes that when it is sunny in this town, it will be sunny the next day with probability 0.4. If it rains, it will be sunny the next day with probability 0.7. Answer the following questions: 1. What is the probability that it will rain the next day if it was sunny the previous day? .6 2. Suppose that the weatherman estimates there is a 90% chance of showers today. Find the probability vector representing this estimation where the state 1 is sunny and state 2 is rainy. 3. Based on the meteorologist's estimation, what is the chance of rain tomorrow? 4. Based on the meteorologist's estimation, What is the chance of rain two days from now?

Suppose that in a certain small town it either rains or IS sunny every day. A meteorologist notes that when it is sunny in this town, it will be sunny the next day with probability 0.4. If it rains, it will be sunny the next day with probability 0.7. Answer the following questions: 1. What is the probability that it will rain the next day if it was sunny the previous day? .6 2. Suppose that the weatherman estimates there is a 90% chance of showers today. Find the probability vector representing this estimation where the state 1 is sunny and state 2 is rainy. 3. Based on the meteorologist's estimation, what is the chance of rain tomorrow? 4. Based on the meteorologist's estimation, What is the chance of rain two days from now?

Name: ## Weather Probability AnalysisIn a small town, the weather can be ei
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Description: ## Weather Probability AnalysisIn a small town, the weather can be either rainy or sunny each day. A meteorologist has observed certain probabilities regarding the weather patterns:- If it is sunny, the probability of it being sunny the next day is

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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