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- central limit theorem A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 40 weeks. Assume that for the population of all unemployed individuals the length of unemployment is normally distributed where the population mean length of unemployment is 40 weeks and that the population standard deviation is 6 weeks. Suppose you would like to select a random sample of 39 unemployed individuals for a follow-up study.Find the probability that a single randomly selected value is less than 39.P(X < 39) = answer is not .4325Coming to School The time X it takes Mrs. Irvine to drive to work on a randomly selected day follows a distribution that is approximately Normal with mean 22 minutes and standard deviation 5.2 minutes (she is a Statistics teacher, after all): Once she parks in the back parking lot it takes her 4 more minutes to walk to her classroom. Let T = the total time it takes Mrs Irvine to reach her classroom on a randomly selected day, so T = X+4 Describe the shape, center, and variability of the probability distribution of T. Study habits Study habits are so important that Mrs. Irvine often considers implementing her own study at MNHS. Fortunately, the Survey of Study Habits and Attitudes is a psychological test that exists already. This test measures academic motivation and study habits_ The SSHA score F on a randomly selected female student at a large university has mean 120 and standard deviation 28, and the SSHA score M of a randomly selected male student at the university has mean 105 and…Which distribution(s) is/are often used to model the elapsed time between the occurrence of successive events for a Poisson random variable? Select all that apply. Exponential Distribution Poisson Distribution Gamma Distribution Normal Distribution Uniform Distribution All of the above. None of the above.
- t distribution Use the ALEKS calculator to solve the following problems. (a) Consider a t distribution with 24 degrees of freedom. Compute P(-1.45Using the Binomial distribution, If n=10 and p=0.4, find P(x=4)K A process produces strings of Christmas tree lights that historically have experienced a defective rate of 6%. A customer has placed an order for 150 strings of lights. Use the normal approximation to the binomial distribution to answer parts a through e. a. Calculate the mean and standard deviation for this distribution. The mean is 9. (Round to four decimal places as needed.) The standard deviation is 2.9086. (Round to four decimal places as needed.) b. What is the probability that fewer than 4 strings in this order will be defective? The probability is 0.0292. (Round to four decimal places as needed.) c. What is the probability that exactly 10 strings in this order will be defective? The probability is (Round to four decimal places as needed.) View an example Get more help - H 1 |=| Vi 1. Clear all Check answer *#1). show work, need help solving First picture is sample, second picture is the ones that need to be solved.Subject Test Note: - You are attempting question 1 our Let a distribution function be given by y +1 = (a) 2. 0<_y<1 1. 3. Then, compute P-2Which distribution(s) is/are symmetric? Select all that apply. Gamma Distribution Exponential Distribution Uniform Distribution Normal Distribution All of the above. None of the above.SEE MORE QUESTIONSRecommended 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