Required information A process that manufactures piston rings produces rings whose diameters (in centimeters) vary according to the probability density function f(x) = {³ √ 3[1 – 16(x – 10)²] 0 9.75 x 10.25 otherwise and the mean diameter of rings manufactured by this process. Numeric Response
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- k 5.6 Given the probability density f(x) = diriaib Ism for %3D 00Consider the function shown below. What type of function is shown in this graph? O A. density function (pdf) ⒸB. cumulative distribution function (cdf) (Be sure that you can give reasons for your answer.) What value must c have? C = n 4 8Calculate P(3.1<x<3.6) ROUND OFF your answer in DECIMAL FORM (4 decimal places)You have misplaced your 'phone, but you know it is in your office. You are certain to find it within 5 minutes; and you believe the probability density for the moment when you will find it is f(t) = 2(5 - t)/25. What is the average time in minutes E(T) until you find it? O 1.00 O 1.67 2.50 3.33Section: Probabilty Density Functionsstatistic discrete rondom variableAnswer asapThe proportion of people who respond to a certain mail-order solicitation is a random variable X having the density function f(x)=2(x+2)/5, 0he length of time, in minutes, for an airplane to obtain clearance for takeoff at a certain airport is a random variable Y = 3X-2, where X has the density function. Find the mean and variance of the random variable Y.Recommended 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