Problem: In the past, the probabilities are 0.5, 0.2. 0.2 and 0.1 that the individual Income TaxReturn forms of the employees of a certain form are filled out correctly, contained only errorsfavoring the taxpayer, contained only errors favoring the government, or contained both kinds oferrors, respectively.A. What kind of distribution does X have?B. From the latest batch of submitted tax forms, a sample of 70 was randomly chosen. What is theprobability that 30 forms were filled out correctly, 15 contained only errors favoring thetaxpayer, 15 contained only errors favoring the government, and 10 contained both kinds oferrors?C. From the latest batch of submitted tax forms, a sample of 70 was randomly chosen. What is theexpected number of forms that will contain errors both favoring the taxpayer and thegovernment? Round off to the nearest hundredths.

Answered: Image /qna-images/answer/48705639-74a6-4dd6-a952-64bcc9800f48.jpg

Answered: Problem: In the past, the probabilities…

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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4 children. He makes a fast, wrong estimate of the probability of various mixes of boys and girls among QUESTION 3. Mr. Fastwrong is working for the census department and he is counting families that have the families. His assistant, Ms. Slowright, analyzes the issue and corrects his work. Fill her corrections of his wrong guesses into the table below. Number of boys among the 4 children 1 0 4 3 2 Number of girls among the 4 children 0 1 2 4 Use fractions (not percents) in your answers. Mr. Fastwrong's estimate of the fraction of families having this distribution of boys and girls 1/5 1/5 1/5 1/5 1/5 Ms. Slowright's estimate of the fraction of families having this distribution of boys and girls
21. A survey involving 600 Democrats, 400 Republicans and 200 Independents asked the question: "Do you favor or oppose eliminating taxes on dividends paid to shareholders?" The following results were obtained: Answer Democrats, % Republicans, % Independents, % Favor 29 66 48 Орpose 71 34 52 What is the probability that a person selected at random from this survey answered "favor"?
1. The Sports Associates Vending Company supplies refreshments at a baseball stadium and must plan for the possibility of a World Series contest. In the accompanying 4 13 5 22 frequency table (based on past results), x 20 represents the number of baseball games 34 required to complete a World Series contest. a. Construct the corresponding relative frequency table. b. Does the result from part a describe a probability distribution? Why or why not? c. Based on the past results, what is the probability that the next World Series contest will last at least 5 games? d. If two different series included in the table are randomly selected, find the probability that they both lasted 7 games. e. Find the mean number of games for the World Series contests included in the table. f. Find the standard deviation for the number of games for the World Series contests included in the table. g. What is the expected number of games for a World Series contest? If a vendor supplies hot dogs to both stadiums…
A. 8.51%B. 55%C. 84.08%D. 91.59%
1. The distributional pattern of pulmonate slugs inhabiting Libya was studied in the AIUB Journal of Science and Engineering (Aug. 2003). The number of slugs of a certain species found in the survey area was modeled using the negative binomial distribution. Assume that the probability of observing a slug of a certain species (say, Milax rusticus) in the survey area is 0.2. Let Y represent the number of slugs that must be collected in order to obtain a sample of 10 Milax rusticus slugs. a. Give the probability distribution for Y as a formula. b. What is the expected value of Y? Interpret this value.c. Find P(Y = 25).
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?
2. Of people who died in the United States in a recent year, 86% were white, 12% were black, and 2% were Asian. (These values ignore a small number of earths among other races. ) Diabetes caused 2.8% of deaths among whites, 4.4% among blacks, and 3.5% among Asians. (a) draw a completely labeled probability tree for this problem. (b) calculate the overall percent of people who died of diabetes across all the three races. (c) given a randomly selected dead person died of diabetes, what is the probability that he/she was white?
2. The following table shows the income distribution for two groups of people in a country: those who declare to belong to a faith, and those who declare to be free thinkers. Income bracket Middle 13278 2225 Religious outlook Faith believer Free thinker Lower 7940 1241 Upper 4527 813 (a) A person is randomly selected from the group, find the probability that this person is a (i) free thinker. (ii) free thinker given that he/she has middle income. (iii) faith believer or he/she has lower income. (b) Are the events "Free thinker" and "Middle income" independent? Explain your answer. (Note: Round the probabilities to two significant figures)
Q. 1 The HR department of a large company compiled the following fictitious data regarding the income and education of its employees. Income OR 12000 or below Above OR 12000 High School graduate University graduate 2010 810 400 780 Let A be the event that a randomly chosen employee has a University degree (graduate), and let B be the event that the chosen employee's income is more than OR 12000. (a) Find each of the following probabilities. (Round answers to four decimal places). (i) P(A) (ii) P(B) Math (iii) P(A n B) (iv) P(B|A) (v) P(B|AC) (b) Are the events A and B independent events?
4. Make a “tree” diagram for the following scenario. You go to the corner of State St. and Center Ave and are looking to see if the drivers of the first three cars that pass by you are wearing hats or not wearing hats. a) Generate the probability distribution for problem number 4 assuming that the probability of a driver wearing a hat is 40% and the random variable x is the number of drivers wearing a hat. b) Find the mean, variance and the standard deviation of the probability distribution in part a. Please show all work.
Determine the following probabilities using the binomial table.

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