Consider the probability distribution shown here. Complete parts a throughc. ### Probability Distribution AnalysisConsider the probability distribution shown below. Complete parts a through c.#### Probability Distribution Table| x | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 ||----|------|------|------|------|------|------|------|------|------|| p(x) | 0.02 | 0.07 | 0.09 | 0.14 | 0.31 | 0.17 | 0.11 | 0.06 | 0.03 |#### Part A: Calculate μ, σ², and σ1. **Mean (μ):** The mean is the expected value of the distribution.2. **Variance (σ²):** The variance measures the dispersion of the distribution.3. **Standard Deviation (σ):** The standard deviation is the square root of the variance.\[ \mu = \]*(Round to two decimal places as needed.)*\[ \sigma^2 = \]*(Round to four decimal places as needed.)*\[ \sigma = \]*(Round to three decimal places as needed.)*#### Part B: Graph p(x)Graph p(x). Locate μ, μ - 2σ, and μ + 2σ. Choose the correct graph below.- **Graph A:** ![Graph A](attached image)- **Graph B:** ![Graph B](attached image)- **Graph C:** ![Graph C](attached image)#### Part C: Probability in Interval [μ - 2σ, μ + 2σ]What is the probability that x is in the interval [μ ± 2σ]?\[ P(μ - 2σ \leq x \leq μ + 2σ) = \]*(Round to two decimal places as needed.)*### Instructions for Students1. **Calculate the Mean (μ):** Use the probability distribution values to determine the expected value.2. **Calculate the Variance (σ²):** Use the expected value to find the dispersion.3. **Calculate Standard Deviation (σ):** Take the square root of the variance.4. **Plot the Distribution:** Identify the correct graph that represents the probability distribution with marked mean and intervals.5. **Determine the Probability within

Name: Consider the probability distribution shown here. Complete parts a thr
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Description: Consider the probability distribution shown here. Complete parts a throughc. ### Probability Distribution AnalysisConsider the probability distribution shown below. Complete parts a through c.#### Probability Distribution Table| x | -4 | -3 | -2

To find: Mean Variance Standard deviation

Math

Statistics

Consider the probability distribution shown here. Complete parts a through c. - 4 - 3 0.07 - 1 0.14 -2 1 3 4 p(x) 0.02 0.09 0.31 0.17 0.11 0.06 0.03 a. Calculate µ, o, and o. (Round to two decimal places as needed.) o2 = (Round to four decimal places as needed.) (Round to three decimal places as needed.) b. Graph p(x). Locate µ, µ- 20, and u + 20. Choose the correct graph below. O A. О В. OC. Ap(x) 0.4- Ap(x) 0.4- Ap(x) 0.4- 0.2- 0.2- 0.2- 0- 0+ -4 H- 26 μμ + 2σ H- 26 H+ 26 H- 26 u u + 20 c. What is the probability that x is in the interval p± 20? (Round to two decimal places as needed.) Click to select your answer(s).

Consider the probability distribution shown here. Complete parts a through c. - 4 - 3 0.07 - 1 0.14 -2 1 3 4 p(x) 0.02 0.09 0.31 0.17 0.11 0.06 0.03 a. Calculate µ, o, and o. (Round to two decimal places as needed.) o2 = (Round to four decimal places as needed.) (Round to three decimal places as needed.) b. Graph p(x). Locate µ, µ- 20, and u + 20. Choose the correct graph below. O A. О В. OC. Ap(x) 0.4- Ap(x) 0.4- Ap(x) 0.4- 0.2- 0.2- 0.2- 0- 0+ -4 H- 26 μμ + 2σ H- 26 H+ 26 H- 26 u u + 20 c. What is the probability that x is in the interval p± 20? (Round to two decimal places as needed.) Click to select your answer(s).

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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