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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e) Which drink was the most preferred and what is the probability of preferring that drink? 2. Consider the following return rates for items purchased: Retail return rates Shoppers return items bought online at a far higher rate Online purchases Return rates by category (both online and in-store) About 30% Auto parts 21% Housewares 12.3% Apparel 10.5% Footwear 9.6% Sporting goods 9.3% Beauty 5.2% Source: WSJ a) If Sally sells 27 pairs of shoes during the month, what is the probability Sally has exactly 4 pairs of shoes returned? b) What is the probability that Sally has less than4 pairs of those shoes returned? c) Tom works at Napa and sells auto parts. Tom sold 18 auto parts last week. What is the probability that Tom gets more than 4 of those parts returned? d) What is the probability that Tom between 2 and 5 of those parts returned?
2. Currently there are 25 secondary schools in Miri including private, technical and vocational. The numbers of teachers in each of these schools are as follows: 135 102 120 120 112 128 104 78 105 114 144 98 90 145 122 148 115 155 68 112 98 88 124 94 90 Assuming the population mean of secondary school teachers is normal, what is the probability that the mean number of secondary school teachers is less than 100?
1. The following is a summary of the results of a survey: Full-Time Part-Time Column Totals Faculty 25 48 73 b. P(Full-Time) c. P( Part-Time, given Faculty) d. P(Staff, given Full-Time) e. P( Full-Time and Staff) f. P(Part-Time or Administration) Staff 16 7 23 A respondent is randomly chosen. Find the following probabilities: a. P(Faculty) Administration 9 3 12 Row Totals 50 58- 108 2. The probability that it will rain today is 50%. The probability that it will rain tomorrow is 60%. There is a 30% probability that it will rain both days. What is the probability that it will rain either today or tomorrow? 3. A committee is composed 30% of females and 60% of administrators. Among the administrators, 10% are females. What is the probability that a randomly chosen member of the committee is both an administrator and a female? a. b. c. 13, 11, 14, 8, 14 4. If a balanced die is rolled, what is the probability that the number of dots on the top face is either odd or less than four? 5. A bowl…
1. Based on the table that is attached below, what is the probability that a randomly selected man resident is a smoker? 0.571 0.70 0.40 0.90
4) Consider the following table of data that shows the results of asking a group of people about yearly income: $20,000 – 29,999 $30,000 - 39,999 $40,000 - 49,999 Totals Male 49 80 127 256 Female 47 97 93 237 Totals 96 177 220 493 i) Determine the probability that one randomly selected person from the group is a female that earns between $30,000 and $39,999
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?
4. Six employees of a marketing firm had effectiveness ratings as follows: 0.72, 0.46, 0.59, 0.64, 0.81 and 0.76. Find the probability of selecting an employee with the indicated effectiveness rating.a. Greater than 0.75. b.Less than 0.75 but greater than 0.5. c. Greater than the mean. d. Not less than 0.9.
Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. a. List the sample space for the experiment. b. What are the possible values for x? c. Is the random variable, x, continuous or discrete? d. Construct a probability distribution for this experiment. (X) e. Construct a histogram for the probability distribution in the space below. 2. Determine if the following are probability distributions (if no, state why). а. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X)
8) Given the following table with eye color and hair color for a sample of 592 people... Black hair Brown hair Blond hair 16 10 Red hair Total Green eyes Hazel eyes Blue eyes Brown eyes Total 29 14 14 15 54 84 119 20 17 26 94 68 a) What percent of people with brown hair have blue eyes? b) What is the probability someone with green or hazel eyes has red hair? 102 F Par 99+
An elected official surveyed residents of a town to assess their satisfaction with city services. The survey includes both those who own and those who rent their homes. Level of Satisfaction High Medium Low Total Owners 26 34 18 78 Renters 15 12 5 32 Total 41 46 23 110 What is the probability that a resident reports high satisfaction, given that the resident is a renter? 13.7% 20.0%0 36.6% 46.9%
A survey of students was conducted to study the relationship between the types of housing a student has and the student's mode of travel to class. The table below contains data gathered in that study. House Apartment Dorm Total Walk 12 44 155 211 Skateboard 26 38 108 172 Car 168 121 3 292 Total 206 203 266 675 Suppose one student is chosen at random. What is the probability the student skateboards to class? O 12.39% O 25.48% 062.79% O 6.14%
The table below summarizes a survey involving the relationship between living arrangements and grade point average for a group of students. If a student is selected randomly from this group, what is the probability that the student lives off campus? On Campus At home Apartment Totals Below 2.5 97 38 44 179 2.5 to 3.5 66 26 22 114 Over 3.5 18 5 8 31 Totals 181 69 74 324

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