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- The 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),Students graduating Atlantis University are being administered a test to check their general competence level at the end of the study program. From a random sample of 100 students, 95 passed and 5 failed. We aim to construct a 95% confidence interval for the proportion p of students at Atlantis University who have achieved a satisfactory competence level after their studies. Answer the following questions: (a) The critical z-value for this problem (the z-value to be used) is z = (give the exact value to TWO decimal places N.xx) (b)The middle of the interval is %. (ROUND to the nearest integer) (c) The error margin is % (use one decimal only and give in terms of percentages).Use Matlab to solve the threshold population equation : P(t)= -rP(1-P/K)(1-P/T) , P(0)=13050. Where r=0.042, K=7,000 and T=5,000.
- A chip company has two manufacturing plants. Plant A produces 40percent% of the chipsand Plant B produces 60percent% of the chips produced by the company. The company knows that 2percent% of the chips produced by plant A are defective and 1percent% of the chips produced by plant B are defective. If a randomly chosen chip produced by the company is defective, what is the likelihood that the chip came from plant A? a. 0.02×.4/(.02×.4)+(.01×.6) b. 0.01×.6/(.02×.4)+(.01×.6) c. 0.02×.6/(.02×.6)+(.01×.4) d. 0.01×.4/(.02×.6)+(.01×.4)A nine character long password is to be created using lower-case letters, four special characters {!, @, #, $} and digits. For the password to be valid, it must contain at least one lower-case letter, one of the given special characters and one digit. What is the probability that a randomly generated nine character password is valid? Assume that the password is generated using only the lower-case letters, the given special characters and digitsCorrect answer Will be upvoted else downvoted. Since crystal fixtures are unique, every so often they will have a similar shading, yet occasionally — unique. Obviously, it looks poor and just pesters Vasya. Subsequently, at the kk-th time when ceiling fixtures will light with various tones, Vasya will get extremely upset and, most presumably, will fire the individual who purchased light fixtures. Your errand is to compute the day, when it occurs (counting from the day ceiling fixtures were introduced). You can feel that Vasya works each day without ends of the week and days off. Input The main line contains three integers nn, mm and kk (1≤n,m≤5000001≤n,m≤500000; 1≤k≤10121≤k≤1012) — the quantity of tones in the first and the subsequent light fixtures and how frequently tones ought to contrast to outrage Vasya. The subsequent line contains nn various integers aiai (1≤ai≤2⋅max(n,m)1≤ai≤2⋅max(n,m)) that depict the principal light fixture's succession of tones. The third…
- The gasoline price often varies a great deal across different regions across country X. The followingdata show the price per gallon for regular gasoline for a random sample of gasoline service station forthree major brands of gasoline (A, B and C) located in 10 metropolitan areas across the country X.A B C3.77 3.83 3.783.72 3.83 3.873.87 3.85 3.893.76 3.77 3.793.83 3.84 3.873.85 3.84 3.873.93 4.04 3.993.79 3.78 3.793.78 3.84 3.793.81 3.84 3.86 State the null and alternative hypothesis for single factor ANOVA to test for any significant difference in the mean price of gasoline for the three brandsIn Simulated Annealing, if the current state’s evaluation function value is 15, the selected successor state’s value is 11, and the current temperature is T = 10, what is the probability of moving to the successor state? (Assume we are maximizing the evaluation function.) Please give your answer as either an expression or a number.Computer Science Consider the demand and supply system p = ad +bdqd +ud p = as +bsqs +us with the equilibrium condition qd = qs = q. The parameters bd and bs are −2 and 1.5, respectively. Find the parameters ad and as are such that q = 5 and p = 10. Throughout this question use N = 100, and set the random seed to 14022022. The variable ud has a standard deviation of 3. All randomly generated variables have a mean of zero and are normally distributed unless something else is specified. All Monte Carlo studies should be done with 10,000 repetitions. Part a. Illustrate the supply and demand curves in a graph, together with a sample of simulated price and quantity data. Provide an additional graph where you have included the OLS estimated line of demand equation above. Are your estimates close to the true values of ad and bd ? Solve the question in Python language on Jupyter notebook.
- With given mean and standard deviation we can simulate values for that normal distribution using the excel formula NORMINV(Rand(),mean,sd). This is applicable for X, Y & Z and thus the W value can also be simulated ( W = (X+Y)/Z) The simulation of 50 values are prepared and the histogram with width 3 class interval is shown in the excel sheet. Random Values around the mean and Standard deviation Y Y W Mean 1.. Y.. 0. Deviation Variance Frequency of Simulated Values Bins FrequencyA particular telephone number is used to receive both voice calls and fax messages. Suppose that 20% of the incoming calls involve fax messages, and consider a sample of 20 incoming calls. (Round your answers to three decimal places.) (a) What is the probability that at most 6 of the calls involve a fax message?(b) What is the probability that exactly 6 of the calls involve a fax message?(c) What is the probability that at least 6 of the calls involve a fax message?(d) What is the probability that more than 6 of the calls involve a fax message?Correct answer will be upvoted else downvoted. Computer science. Since ceiling fixtures are unique, occasionally they will have a similar shading, yet every so often — unique. Obviously, it looks poor and just irritates Vasya. Thus, at the k-th time when crystal fixtures will light with various tones, Vasya will get extremely upset and, most likely, will fire the individual who purchased crystal fixtures. Your undertaking is to compute the day, when it occurs (counting from the day ceiling fixtures were introduced). You can imagine that Vasya works each day without ends of the week and days off. Input The primary line contains three integers n, m and k (1≤n,m≤500000; 1≤k≤1012) — the number of shadings in the first and the subsequent ceiling fixtures and how often tones ought to contrast to outrage Vasya. The subsequent line contains n various integers artificial intelligence (1≤ai≤2⋅max(n,m)) that portray the primary ceiling fixture's succession of tones. The third…