Solve Problem 4 no.2)Just need code and explanation Problem 4Verify the results of Problem 3 using R. Include your code and your printed output, and plots.iidGenerate variables X1, X2, X3 Normal (0, 1) for a population of size N = 1000.Plot density plots of each variable, compute the population mean and variance of each variable.Do these match what you would expect?1)2)For each construction of Z in Problem 3 ((a), (b), (c) and (d):• Create the variable Z as a function of X1, X2, X3 for the population of size N = 1000.Generate the variable from the distribution you found in Problem 3 for a population ofsize N = 1000.• Plot the density plots for both variables. What do you observe? How do they compare?• Compute the mean and variance for both variables. What do you observe?• Based on the distribution you found in Problem 3, what should be the mean and varianceof Z? Compare these to the numeric values you computed.Problem 3Let X1, X2, X3 idrandom variable with the value of the associated parameter (e.g. don't only say Normal, you needto specify the mean and variance).Normal (0, 1). In each of the following cases, identify the distribution of thea)Z = X1 + 2X2 + 3X3.Z = x} + X3 + X3.Z = (X1 – X3)/2.b)c)d)Z =2X3

Name: Solve Problem 4 no.2)Just need code and explanation Problem 4Verify th
Uploaded: 2024-03-20T07:07:26.000Z
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Description: Solve Problem 4 no.2)Just need code and explanation Problem 4Verify the results of Problem 3 using R. Include your code and your printed output, and plots.iidGenerate variables X1, X2, X3 Normal (0, 1) for a population of size N = 1000.Plot density p