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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You have to show all work to receive credit and probabilities must be written properly. For example: P(_________) = work = value 1.) If you pick a card from a well shuffled deck find the probability that, you get a face card or a spade. 2.) What is the probability of getting exactly one boy in three births. 3.) Of 1037 people who came into a blood bank to give blood, 330 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.
At the beginning of the semester, a professor tells The professor informs the class that there will be a students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If test next week. What is the probability that a randomly selected student studied if they do not pass the test with a B or higher? they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram. O 0.45 O 0.46 O 0.54 O 0.59 Gets B or 0.55 higher Studies for test Does not get B or higher 0.6 0.45 Random student Gets B or 0.20 04 Does not higher Mark this and return Save and Exit Next Subrnit DELL F3 F4- F5 F6 F7 F8 F9 F10 F11 F12 PriScr Inser %2$ 4. 8. R T Y 4 H K 近

An outdoor basketball tournament consists of 3 days, from 7 April to 9 April. The weather of each day in April is classified as either sunny or rainy. The probability that 1 April is rainy is 0.5. The probability that a sunny day follows a sunny day is 0.75. The probability that a sunny day follows a rainy day is 0.25. Find the probability that 3 days is sunny in the tournament period.
Pet owners often have more than one type of pet. A recent survey shows that 70% own a dog, 44% own a cat, and 30% own both a dog and cat. Suppose a person is randomly selected. Determine the probability this person 1. has a dog or a cat or both. 2. does not have a dog nor a cat. 3. only has a dog. 4. Given the person has a dog, what is the probability that this person has a cat?
After a workday, you visit a bar from monday to friday. The bar offers four differrent beer flavors. Each day you select one flavor with the following probabilities: flavor 1 with 30% flavor 2 with 25% flavor 3 with 40% flavor 4 with a 5% What is the probability that the first time you eat flavor 3 is on tuesday?
A family has 3 children. Assume that each child is as likely to be a boy as it to be a girl. Find the probability that the family has 3 girls if it is known the family has at least one girl.
Three friends agree to meet in one year if all are alive. What is the probability that of their meeting if their probabilities of being alive is 0.95, 0.88, and 0.96?
Ryuji Sakamoto wants to be voted Best Athlete and needs to earn the support of fellow athletes at his high school, Shujin Academy, before the election. He can talk with three groups of students: the track and field students, the volleyball team, and the baseball team. Assume every student fits into only one of these groups and that all students will vote. The size of each group and the chance that the group would vote for Ryuji are given below. Probability the Group will Vote for Ryuji Size of the Group Group (in percent of athletes) Track and Field 47% 76% Volleyball 33% 44% Baseball 20% 43% The percentage of votes Ryuji is expected to get is Number %. Is Ryuji expected to win? Yes O No
In a class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of the juniors are males. If a student is selected at random, find the probability of selecting the following A junior or a female A junior or a senior A junior who is a female

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