Suppose that the chance of rain tomorrow depends on previous weather conditions only through whether or not it is raining today and not on past weather conditions. Suppose also that if it rains today, then it will rain tomorrow with probability 0.6, and if it does not rain today, then it will rain tomorrow with probability 0.3, then (a) Calculate the probability that it will rain four days from today given that it is raining today. (b) What is the limiting probability of rain.
Suppose that the chance of rain tomorrow depends on previous weather conditions only through whether or...
Plz show all steps, thx!
Question 5. (Forecasting the Weather) Suppose that the chance of rain tomor- row depends on previous weather conditions only through whether or not it is raining today and not on past weather conditions. Suppose also that if it rains today, then it will rain tomorrow with probability a; and if it does not rain today then it will rain tomorrow with probability B. If a 0.7 and B 0.4, then calculate the probability that it...
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new and clear answer
2. Suppose that whether or not it rains today depends on previous weather conditions through the last three days. Show how this system may be analyzed by usinga Markov chain. How many states are needed? 3. In Exercise 2, suppose that if it has rained for the past three days, then it will rain today with probability 0.8; if it did not rain for...
Suppose the weather forecast calls for a "60% chance of rain" each day for the next 3 days. What is the probability that it will NOT rain during the next 3 days? Assume that whether it rains each day is an independent event. Round answer to 2 places after the decimal point.
Suppose there is a 60 percent chance it will rain today, a 50 percent chance it ll rain tomorrow, and a 30 percent chance it will not rain on either day. What is the probability that it will rain both today and tomorrow. Choose the closest answer. a. 0.0 b. 0.1 С. 0.2 d. 0.3 e. 0.4 f, 0.5 g, 0.6 h, 0.7
MARKOV CHAINS: 1. Suppose that today's weather depends only on yesterday's weather. If it rained yesterday, the chances of rain today are 50 percent; if it did not rain yesterday, the chances of rain today are 20 percent. Answer the following questions: (a) Find the transition matrix of this process. (b) Find the 2-step transition matrix. (c) If it rained on Monday, what is the probability it will also rain on Wednesday? FI (d) What is the long-term probability of...
Suppose I have faith in my local weather reporter who says that the chance of rain tomorrow is 80 percent. Moreover, my friend, the seasoned sailor, tells me that whenever it rains the next day, the appearance of the sky visible this evening only appears about 10 percent of the time. Whenever there is a clear day, he adds, the present appearance of the sky occurs 60 percent of the time the evening before. Assume I trust my friends judgement,...
6. (4 points) Suppose there is a 75% chance of rain tomorrow. If it rains there is a 60% you will go to the movies. If it doesn't rain there is a 30% chance you still go to the movies. What is the probability it doesn't rain and you go to the movies. (Hint: Draw a tree diagram) validadore oda a declaration digiarde ene babala nam odtl (no ):2010
Can you help me with the following problem, explaining the solution step by step Suppose that the probability that it will rain tomorrow if it is raining today is 0.6, and that the probability that the weather will be good tomorrow if the weather is good today is 0.3. a. Define the states b. Define the transition unit c. Determine the corresponding Markov chain transition probability matrix. d. Calculate the matrix T ^ 2 What are the probabilities that it...
13. 0/7.14 points Previous Answers My Notes Draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes. HINT (See Example 3.] There is a 60% chance of rain today and a 50% chance of rain tomorrow. Assume that the event that it rains today is independent of the event that it rains tomorrow. What is the probability that there will be no rain today and no rain tomorrow? X Submit Answer Practice...
2. Suppose the weather in Saratoga Springs is either sunny, cloudy, or snowy on any there is a 60% chance that given winter day. If the weather is sunny today, it will be sunny tornorrow, a 30% chance that it will be cloudy tomorrow, and a 10% chance that it will be snowing. If it is cloudy today, there is a40% chance it will be sunny t will continue to just be tomorrow a 30% chance it will snow and...