Calculate the probability that is between 0.2 and 0.7, if x is uifomly distributed in the interval [0,1]
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Calculate the probability that is between 0.2 and 0.7, if x is uifomly distributed in the interval [0,1]
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- Suppose that you enter a fantasy basketball league. Suppose that the 2022 team budget, say X, is randomly drawn from a uniform distribution on the interval [90, 210], where the unit is U.S. million dollars. In addition, suppose that after the value X = x has been observed (90 < x < 210), the 2023 team budget, say Y, is randomly drawn from a uniform distribution on the interval [x, 210]. In other words, the 2023 budget is at least as large as the 2022 budget. (a) For any given value of x (90 < x < 210), obtain E[Y|X = x]. (b) In view of part (i), obtain E[Y|X]. (c) What is the difference between E[Y|X = x] and E[Y|X]? (d) Obtain E[Y]. That is, what is the expected value of your 2023 fantasy basketball budget? (e) Golden State Warriors won the 2022 NBA finals. Their estimated 2022 payroll is about $194 million. Would your 2023 fantasy basketball budget be on average larger than Golden State Warriors' 2022 payroll? Explain briefly.Let X be a continuous random variable distributed by �(6.5,0.35), find:A) �(�<5.13 OR �>7.43)= Keep your answer in 4 decimal places.B) �(�≤4.93 OR �≥5.33)= Keep your answer in 4 decimal places.C) �(�≤7.73 OR �>7.93)= Keep your answer in 4 decimal places.D) �(�<7.03 OR �≥7.13)= Keep your answer in 4 decimal places.**Notes: DO NOT round any z-score.Let X represent a continuous random variable with a uniform distribution over the interval from 0 to 4. What is P(X < 0.9)?
- Let x denote the time taken to run a road race. Suppose x is approx. normally distributed with a mean of 180 minutes and standard deviation of 20 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race a) in less than 156 minutes? b) in 208 to 229 minutesLet X have a uniform on the interval (4, 9). Find the probability that the sum of 2 independent observations of X is greater than 16.Let X have a uniform distribution on the interval (2, 9). Find the probability that the sum of 2 independent observations of X is greater than 16.
- Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded egion of the graph. Assume the variable x is normally distributed. Pregnancy Length in a Population of New Mothers H= 269 o = 10 283Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. The probability that the member selected at random is from the shaded area of the graph is as needed.) Pregnancy Length in a Population of New Mothers 280x has continuous random variable is nomally distributed and average 40, standard deviation 10. So what is the probability of P (30Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman