Consider the following weather forecast data for one month. Use the following states: (state 0: R- rainy, state 1: S-sunny). Week# Sun Mon Tue Wed Thu Fri Sat R R 2 R R R R R S R R R S R 4 R R 1. Find the transition probability matrix (TPM). 2. Draw the probability transition diagram.
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- Answer the question in the image attatched belowMatch each correlation value with its interpretation A. large (strong) negative relationship B. small (weak) positive relationship C. large (strong) positive relationship select 1.r -0.8 select 2.r 0.1 select 3. r = 0.7 7,821 MAR 20 F3 F2 D00 F4 F5 F6 F7 $ % & 4 6 LA 00 %#3José plays basketball. He makes free throw shots 43% of the time. José must now attempt two free throws. The probability that José makes the second free throw given that he made the first is 0.49. Is José's first free throw shot independent of his second free throw shot? There is not enough information to determine whether or not the two free throws are independent of each other. The two free throws are dependent on each other. O The two free throws are independent of each other. What is the probability that José makes both free throws? Round your answer to three decimal places.
- A hotel asked its customers to rate their stays as Excellent, Good, Fair, or Poor. The accompanying table shows the frequency of each rating as well as the gender of the customer.Rating Men WomenExcellent 2 10Good 20 13Fair 17 7Poor 6 3a. Determine the probability that a randomly selected customer rated his or her stay as either Good or Fair.b. Determine the probability that a randomly selected customer rated his or her stay as other than Poor.c. Determine the probability that a randomly selected customer was either a woman or rated their stay as fair.d. Determine the probability that a randomly selected customer rated her stay as good, given the customer was a woman.The following table gives the percentage of students enrolled in one mathematics courses at a university. The college level transfer courses are College Algebra, Statistics, and Liberal Arts Math. PreAlgebra 5% Statistics Elementary Liberal Arts Algebra Math Intermediate Algebra %0% College Algebra 25% prials vas get A student who is taking only one mathematics course is selected. What is the probability a student is taking transfer level math? (Enter without a percent sign)1. Use this table for the following questions: Female Male TotalShort Hair 20 40 60 Long Hair 30 10 40 Total 50 50 100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…
- urgen pleaseThe following table indicates the weather changes at a particular location. For example, the day following a clear day, there is a 40% chance that the weather will be clear, a 40% chance that it will be cloudy and a 20% chance that it will be rainy. What is the probability that the weather two days after it rains will be clear? Answer in whole number See attached photoAt any given time, a subatomic particle can be in one of two states, and it moves randomly from one state to another when it is excited. If it is in state 1 on one observation, then it is 2 times as likely to be in state 1 as state 2 on the next observation. Likewise, if it is in the state 2 on one observation, then it is 2 as likely to be in the state 2 as state 1 on the next observation. 1. Find the transition matrix for this Markov chain. 2. Researchers estimate that the particle is currently 5 times as like to be in state 1 as state 2. Find the probability vector representing this estimation. 3. Based on this estimation, what is the probability that the particle will be in state 2 two weeks from now? 4. What is the probability that the particle will be in the state 1 three weeks from now?