Exercises 150–152 will help you prepare for the material covered in the next section. In each exercise, perform the indicated operation. Where possible, reduce the answer to its lowest terms. 7 150. 10 3 1 151. 2 2 7 152. 15 3 10 3 10
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- Differentiate the following by definition. Using the four step processThe KLM Christmas tree Farm owns a plot of land with 5000 evergreen trees.Each year KLM allows retailers of Christmas trees to select and cut trees for sale to individualcustomers. KLM protects small trees (usually less than 4 feet tall) so that they will be availablefor sale in future years. Currently, 1500 trees are classified as protected trees, while theremaining 3500 are available for cutting. However, even though a tree is available for cuttingin a given year, it may not be selected for cutting until future years. Most trees not cut in agiven year live until the next year, but some diseased trees are lost every year. In viewing the KLM Christmas tree operation as a Markov process with yearly periods, we define thefollowing four states:In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 74% of the valves meet the specification, 18% are reground, and 8% are scrapped. Furthermore, assume that of those valves that are reground, 88% meet the specification, and 12% are scrapped. Draw a tree diagram to represent the situation Find the probability that a valve is ground only once Given that a valve is not reground, what is the probability that it is scrapped? Find the probability that a valve is scrapped Given that a valve is scrapped, what is the probability that it was ground twice? Find the probability that the valve meets the specification (after either the first or second grind). Given that a valve meets the specification…
- Help with quesiton 4The Pine Christmas Tree Farm owns a plot of land with 5000 evergreen trees. Each year, the owner allows retailers of Christmas trees to select and cut trees for sale to individual customers. The farm protects small trees (usually less than 4 feet tall) so that they will be available for sale in future years. Currently, 1500 trees are classified as protected trees, while the remaining 3500 are available for cutting. However, even though a tree is available for cutting in a given year, it may not be selected for cutting until future years. Most trees not cut in a given year live until the next year, but some diseased trees are lost every year. In viewing the Christmas tree operation as a Markov process with yearly periods, we define the following four states: (1) Cut and sold, (2) Lost to disease, (3) Too small for cutting, (4) Available for cutting but not cut and sold.The following transition matrix is appropriate: States (1) (2) (3) (4) (1) 1 0 0 0 (2) 0 1 0 0 (3) 0.1 0.15…A population of 200 healthy men was followed up for the development of prostate cancer. 10 men were followed-up for 1 year and were then lost to follow-up. After being followed-up for 5 years, 10 men developed prostate cancer. The remaining men who never developed prostate cancer were followed for 10 years. Calculate the total number of person years of observation accrued by this population
- A municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.exercise 16.S Please prove EVERYTHING, (if they affirm something, please prove it even if it seems easy)In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 70% of the valves meet the specification, 20% are reground, and 10% are scrapped. Furthermore, assume that of those valves that are reground, 90% meet the specification, and 10% are scrapped. a) Find the probability that a valve is ground only once. b) Given that a valve is not reground, what is the probability that it is scrapped? c) Find the probability that a valve is scrapped. d) Given that a valve is scrapped, what is the probability that it was ground twice? e) Find the probability that the valve meets the specification (after either the first or second grind). f) Given that a valve meets the specification (after either the first or…
- Solve the given LDE of order "n"Use either Reduction of Order, Auxiliary Equation, By inspection, Undetermined Coefficient or variation of parameters if applicable Thank youu!!ball is thrown from an initial hei llowing. h=2+25t-5t^(2)A research study in a big metropolitan area shows that 2% of individuals living within the city limits move to suburbs during one-year period while 1% of individuals living in the suburbs move to the city during a one-year period. 1. A group of 100 individuals are now living in the city, how many of them will stay after 3 years.