**Title: Understanding Sampling in a Government Context****Introduction:**This exercise explores the concept of sampling without replacement within a government setting, where we consider a group of five top officials.**Instructions:**1. **List Possible Samples:** - Determine all possible samples of size 4 that can be obtained from a total of five officials. - **Hint:** There are 5 possible samples.2. **Calculate Probabilities:** - Consider simple random sampling without replacement. - Calculate the probability that the following groups of officials are included in a sample of size 4: - **b.** The chief of staff, lieutenant governor, and treasurer. - **c.** The chief of staff and treasurer. - **d.** The chief of staff.**Conclusion:**This exercise demonstrates the application of combinatorial techniques and probability calculation in real-world scenarios, such as choosing teams of officials for a specific task. Understanding these principles is crucial for effective decision-making and governance. The image lists various governmental positions along with their respective abbreviations:1. Chief of Staff (C)2. Secretary of Defense (D)3. Secretary of State (S)4. Lieutenant Governor (L)5. Treasurer (T)This list can be used as a reference for understanding the abbreviations of these positions in governmental or organizational hierarchies.

a) Five officials are: C, D, S, L, TNumber of samples of size 4 without replacement from 5 = 5C4 =…

Answered: To the right are five of the top…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A Statistics instructor wishes to know the average age (in month) of his 200 students. He decides to choose 25 students from the class and ask them for their age. All 200 names are put in a hat and 25 names are then chosen at random (without replacement). The average age of the students chosen is observed to be 231 months. The group of 25 students is known as what?
. List the 10 possible samples (without replacement) of size 2 that can be obtained from the population of five officials. Lieutenant Governor (L) Secretary of State (S) Attorney General (A) Representative (R) Press Secretary (P) b. If a simple random sampling procedure is used to obtain a sample of two officials, what are the chances that it is the first sample on your list in part (a)? the secondsample? the tenth sample?
Please answer questions D and E for me
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