Four friends are dining at the SFCC Cafe. They are discussing the chance it will rain in Spokane the next day. Abe says "it either will or it won't, so there is a 50-50 chance." Boris says " I checked the records for the last 100 years, and it rains 15% of the days in July, so I would estimate 15% chance. Clara says "I have lived my whole life in Spokane, and it feels to me like it will rain, so I estimate an 80% chance. Dora says "It will rain for sure if I do my rain dance, otherwise there is no chance." Which of the four is using the empirical theory of probability?

Four friends are dining at the SFCC Cafe. They are discussing the chance it will rain in Spokane the next day. Abe says "it either will or it won't, so there is a 50-50 chance." Boris says " I checked the records for the last 100 years, and it rains 15% of the days in July, so I would estimate 15% chance. Clara says "I have lived my whole life in Spokane, and it feels to me like it will rain, so I estimate an 80% chance. Dora says "It will rain for sure if I do my rain dance, otherwise there is no chance." Which of the four is using the empirical theory of probability?

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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What best describes the relationship between the calculated theoretical probability and the empirical probability? a The theoretical probability must always equal the empirical probability. b The theoretical probability will never equal the empirical probability. c The empirical probability should get closer to the theoretical probability the more times you do the experiment. d The empirical probability describes what should happen and the theoretical probability describes what was observed.
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The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 40% chance it will be good tomorrow, a 30% chance it will be indifferent, and a 30% chance it will be bad. If the weather is indifferent today, there is a 50% chance it will be good tomorrow, and a 20% chance it will be indifferent. Finally, if the weather is bad today, there is a 10% chance it will be good tomorrow and a 30% chance it will be indifferent. a. What is the stochastic matrix, P, for this situation? b. Suppose there is a 10% chance of good weather today and a 90% chance of indifferent weather. What are the chances of bad weather tomorrow? c. Suppose the predicted weather for Monday is 40% indifferent weather and 60% bad weather. What are the chances for good weather on Wednesday? a. Create the stochastic matrix, P, where G is good, I is indifferent, and B is Bad. From: GIB a (Simplify your answers.) To: G
If the probability that the Islanders will beat the Rangers in a game is 81%, what is the probability that the Islanders will win at least three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.
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