type of day with probability 0.7. Every type of day is followed bydifferent type of day with probability 0.15. Answer the following,i) Draw state diagram showing all probabilities. ii) What is theprobability of having cloudy day after tomorrow if today is rainyday? iii) What is the probability of having rainy day aftertomorrow if today is sunny day? iv) Find the steady-stateprobabilities.

i) To represent the given scenario with probabilities, you can create a state diagram, also known as…

Answered: type of day with probability 0.7. Every…

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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At the close of the stock markets on a day in 2017, there were 6100 companies listed with certain stock exchanges. On this day, the probabilities of advancing, declining, and unchanged company stocks appears in the table for the two exchanges. Find the probability that a stock was listed on Exchange 2 given that it advanced. Percentage of Probability of Probability of Companies Probability the Stock Stock Stocks Remain Unchanged Exchange Exchange 1 Exchange 2 Listed Advancing Declining 0.2466 0.5052 0.7237 0.0297 0.4948 0.6009 0.3455 0.0536 ...... Let F be Exchange 2 and E be an advance. P(F) = and P(F') =D
Answers must be in 4 decimals If the probabilities that a computer technician will repair 3,4,5,6,7, or 8 or more laptops on any given workday are 0.12, 0.19, 0.28, 0.24, 0.10, and 0.07, respectively, what is the probability that he will service more than 5 laptops on his next day at work?
The probability that Taylor Swift is Austin’s favorite music artist is .10. The probability that he will go to one of her concerts is .84. However, the probability that he does not like Taylor Swift and will go to a concert (because his wife makes him) is .75. a.) Write down the 3 pieces of information given in terms of probabilities involving event A (Taylor Swift is Austin’s favorite music artist) and event B (Austin will go to a Taylor Swift concert). b.) Summarize the above information using a probability table. c.) Find the probability that Taylor Swift is Austin’s favorite music artist or Austin will go to a Taylor Swift concert.
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The events of A and B are mutually exclusive. Suppose P(A) 0.2 and P(B) = 0.1. What is the probability of either A or B occurring? What is the probability that neither A nor B will happen? Next page TOSHIE
Timely patching is important for server security. Suppose an organization has 3 servers. Two of them have been patched, while one of them still remains unpatched. The prob- ability an unpatched server gets compromised is, and the probability that a patched server get compromised is p. If an attacker randomly attacks one of the three servers, the probability he compromises the server is (a) What is the value of p? • (b) This time the attacker randomly chose two servers to attack, and observed only one of them got compromised. What is the conditional probability that both attacked servers are patched?
Obstetrics Suppose that infants are classified as low birthweight if they have a birthweight <2,500 g and as normal birthweight if they have a birthweight 22,500 g. Suppose that infants are also classified by length of gestation in the following five categories: <28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and 237 weeks. Assume the probabilities of the different periods of gestation are as given in the table below. Length of gestation <28 weeks Probability. 0.006 0.010 28-31 weeks 32-35 weeks 36 weeks 0.035 237 weeks 0.900 The following conditional probabilities are given: assume that the probability of low birthweight is 0.948 given a gestation of <28 weeks, 0.700 given a gestation of 28-31 weeks, 0.432 given a gestation of 32-35 weeks, 0.202 given a gestation of 36 weeks, and 0.028 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places. Hint: Use the Law of Total Probability.) 0.06612 0.049 (b) Show…
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85. Two sets of candidates are competing for the positions on the Board of Directors of The probabilities that the first and the second sets will win are 0.6 and 0.4 respectively. If a company. the first set wins, the probability of introducing a new product is 0.8 and corresponding probability if the second set wins is 0.3. What is the probability that the product will be introduced ? Cop wins
8?

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