a-d, please! Thank you!! **Constructing a Probability Distribution for Voter Demographics in Guilford County, North Carolina**In Guilford County, North Carolina, all voters are either Republicans or Democrats. Based on current data, 39 percent of the voter population are Republicans.### Task:Construct a probability distribution for a sample of 12 Guilford County voters. To achieve this, we will use the `BINOM.DIST` function in Excel to calculate the following probabilities:#### Parameters:- **n**: Sample size (number of voters) = 12- **p**: Probability of selecting a Republican voter = 0.39### Table Outline:| N(Republicans) | Probability || -------------- | ----------- || 0 | || 1 | || 2 | || 3 | || 4 | || 5 | || 6 | || 7 | || 8 | || 9 | || 10 | || 11 | || 12 | |#### Instructions:1. Use the `BINOM.DIST` function in Excel to fill in the "Probability" column.2. Calculate the sum of these probabilities to ensure they add up to 1.000000 (within rounding tolerance).##### Example of Syntax in Excel:To calculate the probability of exactly 0 Republicans in the sample:```excel=BINOM.DIST(0, 12, 0.39, FALSE)```### Additional Questions:a) What is the probability that four or fewer are Republicans?- This can be computed by summing the probabilities of 0, 1, 2, 3, and 4 Republicans in the sample. Use the `BINOM.DIST` function with the cumulative option:```excel=BINOM.DIST(4, 12, 0.39, TRUE)```Sum the probability values in the column to complete this table and ensure accuracy.### Diagram:There is a table structure provided for inputting values, but no specific graphs or charts. Users should ensure their table's probabilities sum correctly to validate their distribution calculation. # Analysis of Republican Probability DataIn the following sections, you will perform various calculations about a sample of data concerning the probability of Republicans within a given set. Use the appropriate functions in Excel (or similar spreadsheet software) as indicated.### Sum the Probability in the Blue Box- **Instruction**: Sum the given probabilities and verify that they total to 1.- **Result Box**: ``` [Blank Cell] ```### Part a) Probability of Four or Fewer Republicans- **Question**: What is the probability that four or fewer individuals in our sample are Republicans?- **Instruction**: Use the `SUM` function and the data table provided.- **Result Box**: ``` [Yellow Highlighted Cell] ```### Part b) Expected Value of Republicans- **Question**: What is the expected number of Republicans from this sample?- **Instruction**: Use the `SUMPRODUCT` function along with the provided table.- **Result Box**: ``` [Yellow Highlighted Cell] ```### Part c) Variance and Standard Deviation- **Question**: What are the variance and standard deviation of the data?- **Instruction**: Calculate these values. - **Variance**: ``` [Yellow Highlighted Cell] ``` - **Standard Deviation**: ``` [Blank Cell] ```### Part d) Calculation of \( n*p \)- **Question**: Calculate the value of \( n*p \) and compare it with the expected value from part b.- **Instruction**: Compute \( n*p \) using the provided data and compare the results. - **Formula**: \( n*p \) ``` [Yellow Highlighted Cell] ``` - **State Conclusion**: ``` [Yellow Highlighted Cell] ```Use these steps to thoroughly analyze and interpret the given data regarding the probability of Republicans in the sample set. Input your results in the designated yellow-highlighted cells.

Name: a-d, please! Thank you!! **Constructing a Probability Distribution for
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Description: a-d, please! Thank you!! **Constructing a Probability Distribution for Voter Demographics in Guilford County, North Carolina**In Guilford County, North Carolina, all voters are either Republicans or Democrats. Based on current data, 39 percent of the

Based on the given information, n=12, and p=0.39. The probabilities will be obtained as given below:…

Math

Statistics

In Guilford County North Carolina, all voters are either Republicans or Democrats. 39 percent of the voter population are Republicans. Construct a probability distribution for a sample of 12 Guilford County voters: Use the BINOM. DIST function in Excel to calculate the following probabilites below: n = N(Republicans) Probability 1 2 3 4 7 8 9. 10 11 12 0.000000|<<<<<<<<< Sum the probability in the blue box What should it sum up to?

In Guilford County North Carolina, all voters are either Republicans or Democrats. 39 percent of the voter population are Republicans. Construct a probability distribution for a sample of 12 Guilford County voters: Use the BINOM. DIST function in Excel to calculate the following probabilites below: n = N(Republicans) Probability 1 2 3 4 7 8 9. 10 11 12 0.000000|<<<<<<<<< Sum the probability in the blue box What should it sum up to?

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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