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What is “EEO”? Identify and explain the two approaches the l… | Wiki Cram

What is “EEO”? Identify and explain the two approaches the l…

Questions

Whаt is "EEO"? Identify аnd explаin the twо apprоaches the law uses tо work toward EEO? Provide two specific examples of each approach the law takes to help achieve EEO. Be detailed.

In this cоurse, the finаl exаm is cоmprehensive.

Prоblem 1: Mаximum Likelihооd Estimаtion (25 points) Given observаtions ({x_i}_{i=1}^N), find the maximum likelihood estimate of (theta) using the following density function, begin{align} f_X(x;theta) = theta e^{theta} e^{x - theta e^x};;,x>0 end{align} Problem 2: Moment Generating Functions (25 points) Say (S = sum_{n=1}^N X_n) with (X_n sim text{Exponential}(lambda)) and (N sim text{Geometric}(p)). Using moment generating functions and conditional expectation, please find the distribution of (S) and specify its paramter(s) in terms of (lambda) and (p). For this problem, assume (t) is chosen so that all series converge. Hint: (sum_{n=1}^infty r^n = frac{r}{1-r}) when (|r| < 1). Problem 3: Poisson Processes (25 points) A lightbulb blinks at random times, and the blinks follow a Poisson process with rate (lambda). (a) What is the probability that exactly 3 blinks occur in the first minute? (b) What is the probability that no blinks occur between minute 2 and minute 4? (c) Given that 2 blinks occurred in the first minute, what is the probability that 3 blinks occur in the first 5 minutes? (d) Suppose no blinks were observed in the first 4 minutes. What is the probability that the first blink does not occur until after the first 10 minutes? Problem 4: Stochastic Processes (25 points) Compute the autocovariance of (X(t) = cos(t + Theta)) when (Theta sim text{Uniform}(0,pi)). We recommend starting with the stochastic mean, then computing the autocorrelation, and then combining the results to compute the autocovariance. Hint: (sin(a+pi) = -sin(a)) and (cos(A)cos(B) = frac{1}{2}left[cos(A+B) + cos(A-B)right]). Congratulations, you are almost done with Midterm 3. DO NOT end the Honorlock session until you have submitted your work to Gradescope. When you have answered all questions: Use your smartphone to scan your answer sheet and save the scan as a PDF. Make sure your scan is clear and legible. Submit your PDF to Gradescope as follows: Email your PDF to yourself or save it to the cloud (Google Drive, etc.). Click this link to go to Gradescope to submit your work: Midterm 3 - US Students Return to this window and click the button below to agree to the honor statement. Click Submit Quiz to end the exam. End the Honorlock session.