A market research firm is investigating the appeal of three package designs. The table below gives information obtained through asample of 200 consumers. The three package designs are labeled A, B, and C. The consumers are classified according to age andpackage design preference.Under 25 years25 or olderTotalA 0.76B 0.380.33D 0.22E 0.39ALast saved 2:13:37 PM225476B3428If one of these consumers is randomly selected, what is the probability that the person prefers design A?62C402262Total96104200

Number of A =76 Total = 200 Definition of probability: Probability may be defined as the ratio of…

Answered: A market research firm is investigating…

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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5. In a survey conducted by the Athletics Department of a certain school, student-respondents were asked: "What is your favorite sport to watch?" Basketball and volleyball ranked number 1 and 2 in terms of preference. Assume that in a group of 10 students, seven prefer basketball and three prefer volleyball. A random sample of three of the students is selected. a. What is the probability that exactly two prefer basketball? b. What is the probability that the majority (either 2 or 3) prefer basketball?
a. The table below show the proportion of men and women who plan to vote in the next election. Three hundred men and 300 women were randomly selected and asked whether they planned to vote in the next election. men women plan to vote 170 185 do not plan to vote 130 115 What is the relative risk (likelihood) that men will vote versus men will not vote? a.1.567 b. 1.308 c. 0.583 d. 1.433 e. 0.764 b. During a poll, 115 people were randomly selected and asked their political party affiliation. The contingency table below shows the results cross-classified by political party affiliation and sex. Democrat Republican other total male 16 23 25 64 female 28 12 11 51 total 44 35 35 115 Find the conditional distribution of Republicans who are men. a. 0.557 b. 0.657 c. 0.20 d. 0.359 e. 0.25 c. For the given sample data and null hypothesis, compute the value of the test statistic. The claim is that the…
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?
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. A focus group of 4 members is to be randomly selected from a medical team consisting of 8 doctors and 6 technicians and 5 paramedics and 7 nurses. a. What is the probability that no doctors or no paramedics are selected? Let
7. Giving a test to a group of students, the grades and gender are summarized below. If one student was chosen at random, find the probability that the student was female. Total Male 8. 18 13 39 Female 10 4 12 26 Total 18 22 25 65 8. The table below shows the number of credit cards owned by a group of individuals. If one person was chosen at random, find the probability that the person had no credit cards. Zero One Two or more Total Male 5 19 33 Female 18 10 20 48 Total 27 15 39 81
(This is a introduction to statistics course) From past records, a department store finds that 70% of the people who enter the store will make a purchase on Black Friday. Suppose that 3 customers are randomly selected at the store, answer the following questions: 1) What is the chance that exactly one out of three customers make a purchase? Give your answer (%) rounded to one decimal place. (For example, if your answer is 0.5125 (51.25%), then it will be 51.3% after being rounded to one decimal place.) 2) Explain clearly.
Below are the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status. If a patient is selected at random: What proportion of normal weight patients are not diabetic? What proportion of patients are normal weight or underweight? Underweight Normal Weight Overweight Obese Row Totals Diabetic 8 34 65 43 150 Not Diabetic 12 85 93 40 230 Column Totals 20 119 158 83 380
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+
According to a survey, the distribution of graduate science students in doctorate-granting institutions is shown to the right. Frequencies are in thousands. A graduate science student who Field is attending a doctorate-granting institution is selected at random. Complete parts a through c. Frequency - Physical sciences 34.7 Environmental sciences 11.1 Mathematical sciences 17.5 Computer sciences Agricultural sciences Biological sciences Psychology 43.6 11.8 64.5 45.1 Social sciences 88.5 a. Determine the probability that the field of the student obtained is psychology. (Round to three decimal places as needed.)
2. Use the table below, based on the most recent survey of moviegoers who viewed movie Joker, to answer the following questions. (The cell values are frequencies). Rating Fantastic Very good OK Pretty bad Awful Male 34 18 47 14 17 Gender Female 27 19 44 12 26 a) Determine the probability a moviegoer selected at random rated Joker as "Very good" or better (L.e., "Very good" or "Fantastic"). b) Determine the probability a Female moviegoer selected at random rated Joker as "Very good" or better (meaning "Very good" or "Fantastic"). c) Given your answers to Parts a), b), and c), are the two variables - Joker ratings and Gender-statistically independent?
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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