Determine which of the following time series are stationary and which of the following time series are invertible. Show your reasons. a) x= 0.9 X-1 + 10+ш+ 0.25ш-1 - 0.10u-2 x+= 1.6x+-1 -0.6 X+-2 + ut x=25 +u+ 0.4ш4-1 - 0.77-2 b) c) d) e) x+= 0.9 X+-1 +0.2 X+-2 + 1.5 + 0.7514-1 XXt-1+U
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- Assume that a time-series plot takes the form of that shown in the following graph: 80 60 60 40 40 20 20 * -20 ** * -40 0 2 4 6 8 10 12 Given this plot, which of the following models would likely give the best fit? O ^ = bo + bit + by + bị t lý = bo + bit + bit ŷ = bob₁ + b₁t On =bo+ bạt + biết biết baTwo computer specialists are completing work orders. The first specialist receives 60% of all orders. Each order takes her Exponential amount of time with parameter A₁ = 4 hours ¹. The second specialist receives the remaining 40% of orders. Each order takes him Exponential amount of time with parameter 2₂ = 5 hours-¹1 (a) A certain order was submitted to first specialist 10 minutes ago, and what is the probability that it is still not ready? (b) A certain order was submitted 10 minutes ago, and it is still not ready. What is the probability that the second specialist is working on it?Consider the following time series data for the real consumption of households and government, at current PPPS (in billions 2017USS). In year 2018, the first lagged value of the real consumption is and the first difference is_ Year 2015 2016 2017 2018 2019 1 3 4 5 rcon, | 1267|| 1307 1375 1413 A. 1307; -38 B. 1375; 38. O C.unknown; unknown. D. 1413; unknown
- Suppose a person invested 1 million dollars in a certain project in the beginning of year 2000. The investment is a huge success and is now worth 10 million dollars at the end of year 2020. Assume that the investment has constant growth rate throughout the 20 years. Choose one number k from the set {2,3, •••,9} and find the time interval in which W has leading digit k.K12 K12 K12 OLS Login My Info < Back to Content learning.k12.com/d21/le/enhancedSequenceViewer/1735455?url=https%3A%2F%2Fe02711f5-1353-40b6-af9b-349f7ff846bd.sequences.api.brightspace. = K12 Customer Supp... What is XY? Terms Use WORKED EXAMPLES Try the Segment Addition Postulate Point Y is on XZ. YZ - 5.2 and XZ = 12.5. Newrow Support Z Enter your answer in the box. A Newrow Tech Check Worked Examples: Try the Segment Addition Postulate 27 LogMeln123 hp Office 365 Minecraft Educatio... 1 2 3 A 112 Help Me Spee Check Answ NextSuppose that the random change in value of a financial asset is X over the first day and Y over the second. Suppose also that Var(X) =18 and Var(Y) = 26 In this case, the total change in the value over these two days is given by X +Y. Do you have enough information to compute Var(X +Y)? If so, compute this value. If not, explain what additional information you need to do so.
- X = factorial(3) def factorial(n): if n == 1:return 1else:return n* factorial (n-1) def factorial(n):if n== 1: return 1else: 2return n * factorial(n-1) def factorial(n):if n==1: return 1 else:return n* factorial (n-1) Provide a relationship with the domain subset of the integers that is proven using mathematical inductionSuppose that a time series data follows an MA(1) model, calculate cov(Xt, Xt-p) for all p≥ 1.A system consists of five components is connected in series as shown below. 2 3 5 As soon as one component fails, the entire system will fail. Assume that the components fail independently of one another. (a) Suppose that each of the first two components have lifetimes that are exponentially distributed with mean 91 weeks, and that each of the last three components have lifetimes that are exponentially distributed with mean 121 weeks. Find the probability that the system lasts at least 50 weeks. (b) Now suppose that each component has a lifetime that is exponentially distributed with the same mean. What must that mean be (in years) so that 94% of all such systems lasts at least one year?
- A system consists of five identical components connected in series asshown: ----1-----2-----3-----4-----5---- As soon as one component fails, the entire system will fail. Suppose eachcomponent has a lifetime that is exponentially distributed with λ= .01and that components fail independently of one another. Define events Ai [ith component lasts at least thours], i=1,..., 5, so that the As areindependent events. Let X= the time at which the system fails-that is,the shortest (minimum) lifetime among the five componentsa. The event {X≥t) is equivalent to what event involving A1,..., A5? b. Using the independence of the Ai's, compute P(X≥t). Then obtain F(t)= P(X≥ t) and the pdf of X. What type of distribution does Xhave?c. Suppose there are n components, each having exponentiallifetimewith parameter 1. What type of distributiondoes Xhave?Define the term 'time series data' and continue to discuss the components of a time series.Prove that for a timelike interval, two events can never be considered to occur simultaneously.