Find the probabilities for the following exponential distribution problems. (Round the intermediate values to 4 decimal places, e.g. 0.2531. Round your answers to 4 decimal places, e.g. O.2531.) (a) P(x > 1|1 = 1.2) (b) P(x < 3|1 = 1.0) (c) P( 3sxs 6|A = 2.66) (d) P(x > 1|1 = 0.407)
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- suppose that the lifetime of a light bulb is exponentially distributed with mean 2 years. what is the expected value of this lifetime given that lifetime is between 1 to 3 years? e[x | 1 < x < 3] = ?Need within 1 hour please... A lottery offers INR 1000 with probability 0.25, INR 16 with probability 0.25 and INR 1 with probability 0.5 . What is the certainty equivalent of the above lottery for a person with a log utility function i.e. u(x)= log(x)Help me please
- N (d) = 120(1. 14)" %3D where N(d) represents the number of bees and d represents the number of days from the beginning of the observation period. a) The number of bees at the beginning is b) The population of the colony is I by IL per day. The statement above is completed by the information in Row Row II decreasing 14% decreasing 86% increasing 14% increasing 86% A. В. C. D.In baseball there are many ways to estimate what a team's winning percentage (w) should be against its opponents, given the total runs it has scored and the total runs it has allowed in a certain number of games. Bill James's Pythagorean Formula for the winning percentage estimator is given below. wpe = w = [(# runs scored)2]/[(# runs scored)2 + (# runs allowed)2] A team has currently scored 369 runs and allowed 329 runs. If the team does not allow any more runs for the rest of the season, how many additional runs must they score in order to have a wpe of 80%? (Hint: Let x = the number of runs additional scored.)Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 4 degrees of freedom. Compute P(-1.35Vanessa has a utility function for income given by U(I) = VI %3D (that is the square root of income). Because of the nature of her utility function, we know that Vanessa is risk averse. Vanessa is considering an investment that would give her an income of $10,000 with a probability of 0.5 or an income of $15,000 with a probability of 0.5. The expected utility of this investment is (rounded to 2 decimal places): O A. 111.24 O B. 113.48. O C. 118.35. O D. 125.00.Suppose that in a population of shoppers, the proportion of people who had visited supermarket A last month is 0.18. Also that in the same population, the proportion of people who had visited supermarket B last month is 0.60. The proportion of shoppers who had visited both supermarket A and supermarket B last month is 0.12. What proportion of people in this population had visited supermarket A or supermarket B or both last month? (Give your answer to two decimal places.) Answer:Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 15 degrees of freedom. Compute P (t<-1.86). Round your answer to at least three decimal places. P (t<-1.86)=[] (b) Consider at distribution with 10 degrees of freedom. Find the value of c such that P(-cRecommended 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