Example 6: A survey was done of students in which both their major and the number of times that they eat in an on-campus diningfacility in a given day was observed. Use the results to answer the following questions22503310Business202535Education252055105Psychology 25107035401515BIMS402520a) What is the probability that a randomly selected student ate in an on-campus dining facility fewer than three times?b) What is the probability that a randomly selected student is not a Psychology major?c) What is the probability that a randomly selected student is a Business major that ate in an on-campus dining facility exactly onetime?

a)Probability that a randomly selected student ate in an on-campus facility fewer than three times…

Answered: Example 6: A survey was done of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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2) The table below shows the weights, in pounds, of seven subjects before and after following a particular diet for two months. Subject A B C D E F G Before 182 158 192 151 159 162 169 After 175 149 190 156 145 164 157 At the 10% significance level, do the data provide sufficient evidence to conclude that the diet is effective in reducing weight? Normal probability plot indicates normal population.
2. The 2020 U.S. Census found the chance of a household being a certain size. Thedata is in the table below:Size ofHousehold1 2 3 4 5 6 7 or moreProbability 28.18% 34.83% 15.05% 12.66% 5.80% 2.27% 1.20%a. What is the probability that a randomly selected household will have three members?b. What is the probability that a randomly selected household will have more than four members?c. What is the probability that a randomly selected household will have at least four members?d. What is the probability that a randomly selected household will have at most four members?e. Find the mean and standard deviation for household size (use 7 for the “7 or more” value of therandom variable).f. Create a “usual range” for household sizeMax usual range: ? + 2? =Min usual range: ? − 2? =
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 53 19 26 Male 54 2 16 Distribution of Super Power by Gender What is the empirical probability that a randomly selected superhero will have telepathy?
4.The mortality rate for a certain disease is 25%. A random sample of twelve patients with this disease is selected. a.What is the probability that exactly half of the patients selected will die from the disease? b.What is the probability that at least two of the twelve patients will die from the disease?
3. A survey of a sample of 637 people is conducted. The survey's respondents are classified according to percent of income devoted to housing cost and residence type. The results are given in the table below. Apartment Duplex Single Family Total 20% 47 18 81 146 Total 220 85 332 637 When answering the following questions, please round your answers to one decimal place. What is the probability that a randomly selected person from the survey: a. spends 10-20% of their income on housing? b. lives in a single-family residence or spends more than 20% of their income on housing?
In a survey, each participant indicated how much they agreed with the statement, "Hard work is the way to get what you want in life." Which of the following would you expect to have zero correlation, or close to zero correlation, with the response to the above statement? A) Agreement with the statement, "Happiness mostly depends on luck." B) Conscientiousness score on a personality inventory test. C) High school GPA. D) A random number between 0 and 10, chosen by the participant.
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 34 77 Male 54 68 75 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will have Super Strength?
1. A company manufactures electric circuits, which are packaged in boxes of 10 circuits each. A quality inspector sampled 450 boxes and recorded the number of defective circuits found in each box. Here are the frequencies: Number of defective circuits 1 2 3 4 6. 7 8 9. 10 Frequency of occurrence | 84 105 70 48 36 29 24 19 16 13 Let X = The number of defective circuits in a box. Answer the following probability questions based on the frequency data above. Phrase each event in terms of the random variable X. (a) What is the probability that the next inspected box will have 3 defective circuits? (b) What is the probability that the next inspected box will have no defective circuits at all? (c) What is the probability that the next inspected box will have at most 2 defective circuits? (d) What is the probability that the next inspected box will have more than 5 defective circuits?
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?
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 73 71 38 Male 61 90 76 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will be able to fly?
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 21 61 74 Male 29 27 85 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will be able to fly?
A random sample of cars was classified by size: small, medium, and large, and by region of manufacture: Asia, Europe, and North America. The following data resulted: Size of Car Small Mid-size Total Region of Manufacture Asia 92 54 2 148 Europe 19 17 40 North America Total 26 53 36 115 137 124 42 1. Among the cars manufactured in Asia, what is the probability of selecting a large car? 2. What is the probability of selecting a car that is mid-size or manufactured in North America? 3. What is the probability of selecting a car manufactured in Europe? If three cars are selected at random and without replacement, what is the probability they are all small cars manufactured in Asia? 4. Are 'region of manufacture' and 'size of car' independent or dependent? Justify your conclusion mathematically.

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