**Educational Exercise: Understanding Probability Distributions**USA Today reported that about 20% of all people in the United States are illiterate. Suppose you take eleven people at random off a city street.**Task (a): Construct a Histogram**Create a histogram showing the probability distribution of the number of illiterate people out of the eleven people in the sample. Analyze the four given histograms:1. **First Histogram:** - x-axis (r) ranges from 0 to 11, representing the number of illiterate people. - y-axis (P(r)) shows the probability of each outcome. - The distribution peaks between 3 and 4 illiterate people, indicating the most probable outcomes.2. **Second Histogram:** - Similar x-axis and y-axis. - Peaks at 2 illiterate people, slightly skewed toward fewer illiterate individuals than the first histogram.3. **Third Histogram:** - Follows the same range on each axis. - Highest probability between 2 and 3 illiterate people, demonstrating a similar distribution to the second histogram but slightly more concentrated.4. **Fourth Histogram:** - Consistent axes. - Peak at 4 illiterate people, skewed toward a greater number of illiterate individuals compared to other histograms.**Task (b): Calculate Statistical Measures**Determine the mean (μ) and standard deviation (σ) of this probability distribution. Round your standard deviation to two decimal places.\[ \mu = \text{people} \]\[ \sigma = \text{people} \]**Additional Analysis:**Calculate the expected number of people in the sample who are illiterate.\[ \text{Expected number: } \text{ people} \]This exercise aids in understanding how probability distributions represent real-world statistics, allowing for prediction and analysis of societal data.

Given that, 20% of all people in US are illiterate and n=11 Let X be the number of illiterate…

USA Today reported that about 20% of all people In the United States are Illiterate. Suppose you take eleven people at random off a city street LUSE SALT (a) Make a histogram showing the probability distribution of the number of illiterate people out of the eleven people in the sample. 0.30 0.30 0.25 0.25 0.20 0.20 0.15 A 0.15 0.10 0.10 0.05 0.05 0 12 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 0.30 0.30 0.25 0.25 0.20 0.20 E 0.15 0.15 0.10 0.10 0.05 0.05 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 (b) Find the mean and standard deviation of this probability distribution. (Round your standard deviation to two decimal places.) people рeople Find the expected number of people in this sample who are illiterate. people

USA Today reported that about 20% of all people In the United States are Illiterate. Suppose you take eleven people at random off a city street LUSE SALT (a) Make a histogram showing the probability distribution of the number of illiterate people out of the eleven people in the sample. 0.30 0.30 0.25 0.25 0.20 0.20 0.15 A 0.15 0.10 0.10 0.05 0.05 0 12 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 0.30 0.30 0.25 0.25 0.20 0.20 E 0.15 0.15 0.10 0.10 0.05 0.05 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 (b) Find the mean and standard deviation of this probability distribution. (Round your standard deviation to two decimal places.) people рeople Find the expected number of people in this sample who are illiterate. people

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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