The weather in a particular town in the Pacific northwest is classified as either good, indifferent or bad.If the weather is good on a particular day, the probability it will remain good the next day is only 11%,and there is a 45% chance it will be indifferent. If the weather is indifferent on a particular day, there isa 20% chance it will become good, and a 42% chance it will become bad. If the weather is bad on aparticular day, there is a 48% chance it will be bad the next day, and a 21% chance it will becomeindifferent. Construct the stochastic matrix that models this problem.

Given PGood/Good=0.11 PIndifferent/Good=0.45 PGood/Indifferent=0.20…

Answered: The weather in a particular town in the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a particular care facility, 8% of adults over 65 have Alzheimer’s. If a physician at this care facility correctly diagnoses 95% of all persons with Alzheimer’s as having the disease and incorrectly diagnoses 2% of all person without Alzheimer’s as having the disease, find the probability a person over 65 diagnosed by the physician as having Alzheimer’s actually has the disease
In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, there is an 8% probability that a nonsmoker will begin smoking a pack or less per day, and a 3% probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is a 9% probability of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month, in 2 months, and in 1 year? (Round your answers to the nearest whole number.) (a) in 1 month nonsmokers 1 pack/day or less more than 1 pack/day (b) in 2 months nonsmokers 1 pack/day or less more than 1 pack/day (c) in 1 year nonsmokers 1 pack/day or less more than 1 pack/day people people people people people people…
The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 60% chance it will be good tomorrow, a 30% chance it will be indifferent, and a 10% chance it will be bad. If the weather is indifferent today, there is a 70% chance it will be good tomorrow, and a 20% chance it will be indifferent. Finally, if the weather is bad today, there is a 30% chance it will be good tomorrow and a 30% chance it will be indifferent. The stochastic matrix for this situation is shown to the right. In the long run, how likely is it for the weather in Columbus to be bad on a given day? P= 0.6 0.7 0.3 0.3 0.2 0.3 0.1 0.1 0.4 In the long run, how likely is it for the weather in Columbus to be bad on a given day? % (Round to the nearest integer as needed.)
Your Friday morning playlist on Spotify consists of 6 Drake songs, 8 Cardi B songs, and 10 Post Malone songs. You put the playlist on shuffle on the way to school and it does not repeat songs. Find the probability that it plays a Drake song first, a Cardi B song second, and a Post Malone song third. O 3.47% 3.95% O 2.73% O 3.11%
A set of traffic lights shows green for 45 seconds, amber for 5 seconds and red for 30 seconds. When approaching this set of light, what is the probability that it will be showing: a. green? b. amber? C. red?
Kareem Abdul Jabbar and Larry Bird are very different when it comes to making free throws. A sports magazine reports that Kareem makes about 85%of his free throws, while Larry Bird makes only 50% of his free throws. Assume that free throws are independent, and that each player takes two free throws during a particular game. What is the probability that Larry Bird makes exactly one of his two free throws?
There is an option of paying $100 to have research conducted to better predict which state of nature will occur. When the true state of nature is High, the research will accurately predict High 70% of the time. When the true state of nature is Low, the research will accurately predict Low 75% of the time. Given that the research is conducted, what is the joint probability that the state of nature is High and the research predicts Low?
Suppose Alice is deciding whether or not to go to a New York Giants game. Alice's enjoyment and thus decision, depends upon two uncertain events that are out of her control: whether the Giants win and whether it snows. She will be happiest if the Giants win and it does not snow. The newspaper reports a 35% chance for snow and the Giants record suggests a 40% chance of winning. The probability that the Giants lose and it snows is: Select one: O a. 25%. O b. 21%. O C 26%. O d. 95%.
At a bar, 30% of those in attendance are football fans, 50% in attendance are soccer fans, and 20% in attendance are hockey fans. You may assume these sports fandoms are mutually exclusive. The probability that a football fan is wearing a red shirt is 15%. The probability that a soccer fan is wearing a red shirt is 45% and the probability that a hockey fan is wearing a red shirt is 85%. You have just talked to a randomly selected person who was wearing a red shirt, but forgot to ask them their preferred sport. What is the probability that they are a soccer fan? What is the probability that a randomly selected bar patron is a soccer fan AND they are wearing red? What is the probability that a randomly selected part goer is a soccer fan OR they are wearing red?
Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?
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A group of friends plans to have a picnic in the park, but the weather forecast shows a 60% chance of rain. If three friends decide to go ahead with the picnic regardless of the weather, what is the probability that exactly two of them will get rained on?

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