**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

See similar textbooks

Similar questions

The magazine Sports Illustrated asked a random sample of 250 Division I college athletes, "Do you believe performance enhancing drugs are a problem in college sports?" Suppose that 30% of all Division I athletes think that these drugs are a problem. What is the probability that more than 35% of those interviewed admit performance enhancing drugs are a problem in college sports? a 0.2376 O b 0.5721 O c 0.9578 O d 0.0422
According to a survey, 30% of college students said that they spend too much time on Facebook. Suppose this result holds true for the current population of all college students. A random sample of six college students is selected. a. Define the random variable X b. X takes on what values?X = ..................................................... c. Determine the number of trials n and the probability of success for this binomial distribution. d.Find the probability that exactly three of these six college students will say that they will spend too much time on Facebook. Round your answer to three decimal places.
In the 2010 election in the UK 65.1% of registered voters voted. Suppose that a random sample of 200 registered voters was taken. What is the probability that the sample proportion is less than 0.60? O 0.0651 O 0.7551 O 0.0793 O 0.9349 O 0.9207 0.2449
In a survey of 2500 adults 18 year old and older conducted in 2019 adults 18 years old and older, the following question was asked : Is your family income keeping pace with the cost of living ? The results of the survey follow : Falling Staying Don't Answer Increasing behind even know faster Respondents 900 1020 460 120 Determine the probability distribution associated with these data.
A random sample of adults was asked about their highest education level completed. The distribution of results is shown in the table. What is the probability that the highest level of education of an adult is a high school diploma, given that they have completed at least one of the education levels shown? 0.04 0.16 0.47 0.84
_______________ is the probability of an outcome on one variable (e.g., survival vs. death) given a score for another variable (e.g., whether the person owns a dog or not), whereas, ____________ is the overall probability of some outcome (such as survival vs. death) for the entire sample, ignoring membership on any other categorical variables.
The table below displays the results of a study investigating the effectiveness of bicycle safety helmets in preventing head injury. The data consist of a random sample of 793 bicyclists who were involved in bicycle accidents. Head Injury wearing Helmet Yes No Total Yes 17 218 235 No 130 428 558 Total 147 646 793 What is the probability of obtaining a head injury in a bicycle accident? 0.020 0.254 0.185 0.201 0.296
The table below shows the results of a survey that asked 1058 adults from a certain country if they favored or opposed a tax to fund education. A person is selected at random. Complete parts (a) through (c). Support Oppose Unsure Total Males 154 327 490 Females 243 293 32 568 Total 397 620 41 1058 (a) Find the probability that the person opposed the tax or is female. P(opposed the tax or is female) = 0.846 (Round to the nearest thousandth as needed.) (b) Find the probability that the person supports the tax or is male. P(supports the tax or is male) = 0.693 (Round to the nearest thousandth as needed.) (c) Find the probability that the person is not unsure or is female. P(is not unsure or is female) = Incorre (Round to the nearest thousandth as needed.)
A poll asked people with and without children under 18 years old if they frequently experienced stress. The results are shown in the accompanying table. Complete parts (a) through (c) below. Frequently Experience Stress Yes No Total With child under 296 234 530 18 уears No child under 196 314 510 18 years Total 492 548 1040 a. Find the probability that a randomly chosen person from this group said "Yes," given that the person has a child under 18 years old. (Type an integer or decimal rounded to four decimal places as needed.) b. Find the probability that a randomly chosen person from this group said "Yes," given that the person does not have a child under 18 years old. (Type an integer or decimal rounded to four decimal places as needed.) c. Find the probability that a randomly chosen person from this group said "Yes" or had a child under 18 years old. (Type an integer or decimal rounded to four decimal places as needed.)
A group of realtors estimates that 23% of all homes purchased last year were considered investment properties. If a sample of 800 homes sold last year is obtained, what is the probability that between 175 and 200 homes are going to be used as investment property? Round to four decimal places. O A. 0.6863 B. 0.9099 OC. 0.2236 O D. 0.1335
If you throw a dart randomly at the target shown, what is the probability that you will hit the blue, shaded area? 25 in 36 in O 10.6% O 11.6% O 8.6% O 9.6% 12 in 36 in