Consider the random variable x, where x is the number of dots after rolling a die. Make a rketch of the prohahility distribution of this variable. What is the expected value of x?
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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- Riqsal has 4 plantation areas of 12000 2 each. Riqsal used the plantation land to grow cocoa. Company PT. Ceres ordered cocoa from the 4 plantation areas with a contract transaction. Production in each area is 1.7 tons, 1.8 tons, 1.4 tons, and 2 tons. With a significance of 1%, do these figures support the hypothesis that the average cocoa production per 12000 2 is 1.6 tons.At a company, the quality assuran_ce staff has set up a criter_ion to assure if the quality of their products are ready to be expor_ted. Each of the exported box contains 25 pieces of their product. Three inspection staffs are assigned to do one by one inspection. Namely, the first inspector will randomly select one piece from the box and record if it is defective or non-defective and return that piece to box. The second inspector has repeated the same way of inspection as the first inspector and, lastly, the third inspector also repeats the same action one more time. The criteri_on is as follows. If all inspectors have not found any defective product, then {th_e} box is accepted to be exported. On the other hand, if at least one of the inspector has found the defective product, the whole box must be rejected and must be returned for reproduction. By considering this way of inspection process, find The prob that a box contaning exact_ly 3 defective product would pass the inspection…In the construction process for solid-state flash memory drives (thumb drives), nearly all drives areconstructed with a large potential amount of storage space, and are sold base on the actual amountof memory that forms correctly during the process (For example, drives that are designed to store 64gb but contain a large number of bad sectors will instead be formated and sold as 32 gb). Consider amanufacturing process where every chip has a 21% of having enough bad sectors to be downgraded,and these errors are random and independent.(a) If we wish to compute the probability thatxnumber of chips out of a production run of sizenaredowngraded, do we have a probability distribution that will work for that? Are the assumptionsfor that met? Explain. (b) Compute the probability that 5 chips out of a production run of 40 are downgraded. (c) Compute the probability that between 3 and 5 (inclusive)orbetween 2 and 8 (inclusive) aredowngraded. (d) Graph the probability mass function forxnumber of…
- In the construction process for solid-state flash memory drives (thumb drives), nearly all drives areconstructed with a large potential amount of storage space, and are sold base on the actual amountof memory that forms correctly during the process (For example, drives that are designed to store 64gb but contain a large number of bad sectors will instead be formated and sold as 32 gb). Consider amanufacturing process where every chip has a 21% of having enough bad sectors to be downgraded,and these errors are random and independent. (a) If we wish to compute the probability that x number of chips out of a production run of size n are downgraded, do we have a probability distribution that will work for that? Are the assumptionsfor that met? Explain. (b) Compute the probability that between 3 and 5 (inclusive)or between 2 and 8 (inclusive) are downgraded. (c) Graph the probability mass function for x number of chips out of a production run of 10 aredowngraded.According to http://www.gasandoil.com/goc/news/ntl50398.htm , accessed on Feb 2, 2005, “17-12-04 Jamaica has found signs of oil in 10 exploratory wells drilled into deep underground structures. Now it's come to Houston looking for oil companies willing to help the island nation, which depends heavily on tourism, bauxite and alumina, to become the world's next oil and natural gas producer. Hopeful Jamaican officials traveled to Houston promoting the nation's first formal license round, offering 22 offshore blocks and four on-shore blocks. "There are plenty of reserves yet to be found -- exploration in new frontiers is now warranted," said Raymond Wright of the Petroleum Corporation of Jamaica, reflecting on the world's supply dilemma. Oil explorers order seismic tests to determine whether oil is likely to be found in a certain drilling area. These seismic tests have a known reliability: When oil exists the tests indicate so 85% of the time and when oil does not exist the…According to the Mines and Geosciences Bureau (MGB) Region 6 identified the top 2 districts with the most number of barangays prone to flooding. Moreover, they have also whether these barangays are "very nigh of "high" susceptibility to flooding. In Jaro, nine barangays have "very high" flooding risk. These'are San Isidro, (5) Sambag, (6) Ungka, (7) Lanit, (8) Buntatala, and (9) Tagbak. identified (yCalubihan, (2) Buhang, (3) Dungon-A, (4) The Jaro barangays with 18 "high" flooding risk are (1) Montinola, (2) Taytay Zone 2, (3) Desamparados, (4) Cuartero, (5) Ma. Christina, (6) San Roque, (7) Simon Ledesma, (8) Democracia, (9) Tabuc Suba, (10) Cubay, (11) Balabago, (12) MV Hechanova, (13) Quintin Salas, (14) Tacas, (15) Dungon B., (16) Camalig, (17): Arguelles, and (18) El 98. In Mandurriao, four villages with "very high" susceptibility to flooding are (1) Tabucan, (2) Bakhaw, (3) Buhang Taft North, and (4) Santa Rosa. Barangays deemed with "high" flood exposure risk are (1) San…
- The Center for Information Technology at State Univer-sity has outgrown its office in Bates (B) Hall and is mov-ing to Allen (A) Hall, which has more space. The move will take place during the three-week break between the end of summer semester and the beginning of fall semes-ter. Movers will be hired from the university’s physical plant to move the furniture, boxes of books, and files thatthe faculty will pack. The center has hired a local retailcomputer firm to move its office computers so they willnot be damaged. Following is a list of activities, theirprecedence relationships, and probabilistic time estimatesfor this project:Determine the earliest and latest start and finish times, thecritical path, and the expected project duration. What is theprobability the center will complete its move before thestart of the fall semester?Compute llA IIf, llA II1, and llA ll∞It has been suggested that daily production of a subassembly would be increased if better lighting were installed and background music and free coffee and doughnuts were provided during the day. Management agreed to try the scheme for a limited time. A listing of the number of subassemblies produced per week before and after the new work environment for each employee follows. Employee Past Production Record Production after Installing, Lighting, Music, etc. JD 23 33 SB 26 26 MD 24 30 RCF 17 25 MF 20 19 UHH 24 22 IB 30 29 WWJ 21 25 OP 25 22 CD 21 23 PA 16 17 RRT 20 15 AT 17 9 QQ 23 Show your work, please. Thanks!
- It has been suggested that daily production of a subassembly would be increased if better lighting were installed and background music and free coffee and doughnuts were provided during the day. Management agreed to try the scheme for a limited time. A listing of the number of subassemblies produced per week before and after the new work environment for each employee follows. Employee Past Production Record Production after Installing, Lighting, Music, etc. JD 23 33 SB 26 26 MD 24 30 RCF 17 25 MF 20 19 UHH 24 22 IB 30 29 WWJ 21 25 OP 25 22 CD 21 23 PA 16 17 RRT 20 15 AT 17 9 QQ 23 30 FIND: State the decision rule and show your work: Reject H0 if T ≤ : Compute T and arrive at a decision (Show your work). T = ____________ , do not reject H0.Determine the number of ways in which a distributorcan choose 2 of 15 warehouses to ship a large order.Determine the total weight of the minimum Hamilton circuits?