Suppose that whether it rains in a certain city tomorrow depends on the weather conditions for today and yesterday. Climate data shows the following: If it rained yesterday and today, then it will rain tomorrow with probability 0.54. If it rained yesterday but not today, then it will rain tomorrow with probability 0.22. If it rained today but not yesterday, then it will rain tomorrow with probability 0.42. If it did not rain yesterday and today, then it will rain tomorrow with probability 0.35. Over the course of a year, about how many days in the city are rainy according to the model? The transition matrix for this Markov chain is given below. P= 0.54 0.46 0 0.42 0 0 0.58 0 0 0.22 0 0.35 0 0.78 0 0.65 O Over the course of a year, there are about rainy days. (Round to the nearest day as needed.)
Suppose that whether it rains in a certain city tomorrow depends on the weather conditions for today and yesterday. Climate data shows the following: If it rained yesterday and today, then it will rain tomorrow with probability 0.54. If it rained yesterday but not today, then it will rain tomorrow with probability 0.22. If it rained today but not yesterday, then it will rain tomorrow with probability 0.42. If it did not rain yesterday and today, then it will rain tomorrow with probability 0.35. Over the course of a year, about how many days in the city are rainy according to the model? The transition matrix for this Markov chain is given below. P= 0.54 0.46 0 0.42 0 0 0.58 0 0 0.22 0 0.35 0 0.78 0 0.65 O Over the course of a year, there are about rainy days. (Round to the nearest day as needed.)
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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Transcribed Image Text:Suppose that whether it rains in a certain city tomorrow depends on the weather conditions for today and yesterday. Climate data shows
the following:
If it rained yesterday and today, then it will rain tomorrow with probability 0.54.
If it rained yesterday but not today, then it will rain tomorrow with probability 0.22.
If it rained today but not yesterday, then it will rain tomorrow with probability 0.42.
If it did not rain yesterday and today, then it will rain tomorrow with probability 0.35.
Over the course of a year, about how many days in the city are rainy according to the model?
The transition matrix for this Markov chain is given below.
P=
0.54
0.46
0 0.42 0
0 0.58 0
0 0.22
0 0.35
0 0.78 0 0.65
Over the course of a year, there are about rainy days.
(Round to the nearest day as needed.)
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