A computer requiring high reliability has 4 independent components, and functions as long as at least 1 of the components functions. The time-to-failure of each of the components has an exponential distribution with parameter 1. Starting with 4 new working components, what is the expected time to failure of the computer (that is, time till all 4 components have failed)? 25/12 4 12/5 None of the choices.
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- Solve in R programming language: Suppose that the number of years that a used car will run before a major breakdown is exponentially distributed with an average of 0.25 major breakdowns per year. (a) If you buy a used car today, what is the probability that it will not have experienced a major breakdown after 4 years. (b) How long must a used car run before a major breakdown if it is in the top 25% of used cars with respect to breakdown time.In a lake, the population of a particular fish species is about 1 million. Fish reproduce by 20% of the population each month, regardless of the season. In addition, fish die naturally after living for an average of 10 months. There are two separate companies (for example, A and B) fishing with 5 boats on the edge of this lake. According to current data, each boat catches 5000 fish per month. However, if the total number of boats caught in the lake increases, the number of fish to be caught by each boat decreases, as the boats will prevent each other from fishing. In addition, if the fish population in the lake increases, the fish caught per boat increases, and if the population decreases, the fish caught per boat decreases. As companies earn money from hunting, they want to buy new boats over time and enlarge their boat fleet. Indicate the causal relationships in this system with arrows and signs. Show the causality loops in this system, at least 1 negative, at least 1 positive, and…In a lake, the population of a particular fish species is about 1 million. Fish reproduce by 20% of the population each month, regardless of the season. In addition, fish die naturally after living for an average of 10 months. There are two separate companies (for example, A and B) fishing with 5 boats on the edge of this lake. According to current data, each boat catches 5000 fish per month. However, if the total number of boats caught in the lake increases, the number of fish to be caught by each boat decreases, as the boats will prevent each other from fishing. In addition, if the fish population in the lake increases, the fish caught per boat increases, and if the population decreases, the fish caught per boat decreases. As companies earn money from hunting, they want to buy new boats over time and enlarge their boat fleet.
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- aConvert the following difference equation into a first-order form: Yt = Yt-1 + 2yt-2(Yt-3 – 1) b.Write the update function code in Python for the following system. X = 3xt-1 + 2yt-1 Yt = -Xt-1 + Yt-1 Xo = 1 Yo = 0 s.Blow is the equation for the logistic model. What is the carrying capacity in this model. Explain your answer. x, - (-- + 5)- 4 3 d. The following equations model the Predator Prey system. What happens at extreme values for y and z? Yt-1 1 Ye = Yt-1 + 3y;-1 (1-1)-( -1 + 1) Yt-1 4zt-1 +1. Z = 0.7zę-1 + 5yt-1Zt-1The task is to implement density estimation using the K-NN method. Obtain an iidsample of N ≥ 1 points from a univariate normal (Gaussian) distribution (let us callthe random variable X) centered at 1 and with variance 2. Now, empirically obtain anestimate of the density from the sample points using the K-NN method, for any valueof K, where 1 ≤ K ≤ N. Produce one plot for each of the following cases (each plotshould show the following three items: the N data points (instances or realizations ofX) and the true and estimated densities versus x for a large number – e.g., 1000, 10000– of discrete, linearly-spaced x values): (i) K = N = 1, (ii) K = 2, N = 10, (iii) K = 10,N = 10, (iv) K = 10, N= 1000, (v) K = 100, N= 1000, (vi) K = N = 50,000. Pleaseprovide appropriate axis labels and legends. Thus there should be a total of six figures(plots),The table below describes the average voltage generated, A, in volts by an energy harvester for three days at three different times for each day. Referenced time Day 3. 3.0 V 1.8 V 0.9 V 1.9 V 2.2 V 1.7 V 0.5 V 1.1 V 2.2 V Given that the power generated in millivwatts (mW), P, can be calculated using the following equation: 500A? P = Where A is the voltage generated and R is the total resistance given as 2000 Q. Write a MATLAB/OCTAVE script to store the voltage data from the table as a single matrix, where the days represent the rows and the referenced times represent the columns of the matrix. Hence, in the same script, Calculate the power generated at each day and referenced time. i) ii) Compute and output the overall maximum power generated. Finally, compute and output the days and referenced times where the power generated exceeds 1.0 mW (Tips: You may want to use a nested loop OR the in-built MATLAB/OCTAVE function called 'find' here) iii)