#2 The weather forecaster says that the probability of rain on Saturday is 20% and the...
A meterologist reports that the probability that it will rain on Saturday is 30% and the probability that it will rain on Sunday is 40%. If the two events are independent, what is the probability that it will rain on at least one of the two days?
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,...
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.
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...
A weather forecaster predicts that the May rainfall in a local area will be between 2 and 6 inches but has no idea where within the interval the amount will be. Let x be the amount of May rainfall in the local area, and assume that x is uniformly distributed over the interval 2 to 6 inches. (a) Calculate the expected May rainfall. (Round your answer to 1 decimal place.) inches (b) What is the probability that the observed May...
decide Tthe problern is easy? Problem 2 (The "Weather frog") Let us assume that a "weather frog" bases his forecast for tomorrow's weather entirely on today's air pressure. Determining a weather forecast is a hypothesis testing problem. For simplicity, let us assume that the weather frog only needs to tell us if the forecast for tomorrow's weather is "sunshine" or "rain". Hence we are dealing with binary hypothesis testing. Let H 0 mean "sunshine" and H 1 mean "rain". We...
#525. Weather and Flight Delay Probability Dave travels from Champaign to Chicago often for work. He usually flies from Champaign to Chicago to save time on busy days. Depending on the weather in Chicago, the flight might be delayed. Suppose that there are 3 possible weather conditions in Chicago: sunny, rain, and snow with the corresponding probabilies: 70%, 20%, and 10%. When it is sunny in Chicago, the flight will be on time 70% of the time. But in bad...
8 Total Question 3 A clothing company changes its sales depending on if the weather is clear or raining. A weather forecasting company has told them that if it is clear today, it is 80% likely it will be clear tomorrow. However, if it is raining today, it is 65% likely to be raining tomorrow. 3(a). What is the transition matrix for this Markov chain? /1 mark 3(b). The weather forecast for next Monday says it is 20% likely to...
1. 2. The manager of a fashionable restaurant open Wednesday through Saturday says that the restaurant does about 39 percent of its business on Friday night, 21 percent on Saturday night, and 11 percent on Thursday night. What seasonal relatives would describe this situation? (Round your answers to 2 decimal places.) Wednesday Thursday Friday Saturday Freight car loadings over an 18-week period at a busy port are as follows: Week Number 280 295 310 295 310 320 Week Number 350...