A group of 200 randomly selected Chief Executive Officers (CEOS) fromCanada were tested for their personality type. The data is shown in the following table:Туре А102Туре В45TotalMen147Women292453Totals13169200If one CEO is randomly selected from this group, find the probability that the CEO is:a) Type A personality.b) A man, given Type A personalityc) A woman or Type B personalityd) Are the events 'man' and Type A personality' independent? Prove mathematically.

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Answered: A group of 200 randomly selected Chief…

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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A Statistics instructor wishes to know the average age (in month) of his 200 students. He decides to choose 25 students from the class and ask them for their age. All 200 names are put in a hat and 25 names are then chosen at random (without replacement). The average age of the students chosen is observed to be 231 months. The group of 25 students is known as what?
Superpowers A total of 415 children from the United Kingdom and the United States who completed a survey in a recent year were randomly selected. Each student's country of origin was recorded along with which superpower they would most like to have: the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The data are summarized in the following table. Country U.K. U.S. Fly 54 45 Freeze time 52 44 Invisibility 30 37 Superpower 20 23 Superstrength Telepathy 44 66 a. What proportion of students in the sample are from the United States? b. Find the distribution of superpower preference for the students in the sample using relative frequencies. c. What percent of students in the sample are from the United Kingdom and prefer telepathy as their superpower preference?
According to an article in a recently published medical journal, one-third of all sets of triplets consist of all females, one-fourth are all male sets, and the remaining sets are of mixed gender. A simple random sample of 78 sets of triplets born in the past 20 years is obtained from hospital records. The results are presented below. Gender make-up of triplets 1: All female 2: All male 3: Mixed gender Total 10 11 57 78 What would be the null hypothesis for a chi-square test for testing if the claim made in the medical journal is indeed true? Ho: P1 = P2 = P3 = 5/12, where P₁, P2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively Ho: P₁ = 1/3, P2 = 1/4, and p3 = 5/12, where p₁, P2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively Ho: P1 1/4, P2 1/4, and p3 = 5/12, where p₁, P2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively.
According to an article in a recently published medical journal, one-third of all sets of triplets consist of all females, one-fourth are all male sets, and the remaining sets are of mixed gender. A simple random sample of 78 sets of triplets born in the past 20 years is obtained from hospital records. The results are presented below. Gender make-up of triplets 1: All female 2: All male 3: Mixed gender Total 10 11 57 78 What would be the null hypothesis for a chi-square test for testing if the claim made in the medical journal is indeed true? Group of answer choices H0: p1 = 1/3, p2 = 1/4, and p3 = 5/12, where p1, p2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively H0: p1 = p2 = p3 = 5/12, where p1, p2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively H0: p1 = 1/4, p2 = 1/4, and p3 = 5/12, where p1, p2, and p3 represent the proportions of all…
A survey of 500 television watchers produced the following information: 285 watch football games, 195 watch hockey games, 115 watch basketball games, 45 watch football and basketball games, 70 watch football and hockey games, 50watch hockey and basketball games, and 50 do not watch any of the three kinds of games. How many people in the survey watch all three kinds of games? * 35 25 20 40
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
A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.
At an assembly plant, workers assemble parts for a piece of farm equipment. The supervisor conducted an experiment to compare the effectiveness of three assembly methods, A, B, and C. Eighteen employees were randomly assigned, six employees each, to one of the three methods. After completing their training, each person was asked to assemble five pieces of equipment using his or her training method. The average time to complete the assembly of all five pieces of equipment was recorded. (a) What type of study design is used? O independent groups design O repeated measures design O matched pairs design O randomized block design What are the experimental units in this study? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods O the average time to assemble five pieces of equipment (b) What are the treatments? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods the average time to assemble five pieces of…
The nonprofit group Public Agenda conducted telephone interviews with three randomly selected groups of parents of high-school children. There were 202 black parents, 202 Hispanic parents, and 201 white parents. The sample survey asked the parents to respond to the statement, "A college education has become as important as a high school diploma used to be." Here are the counts of responses: Strongly agree Somewhat agree Somewhat disagree Strongly disagree TOTAL Black parents 154 27 11 10 202 Hispanic White parents 144 37 13 8 202 parents 125 50 18 8 201 Write a brief report on the similarities or differences among the three groups of parents in their attitudes towards the importance of a college education. Include a graph or graphs and a test of significance.
A survey was taken on course selection and gender. The results are represented in the table below. Воys Girls ТОТAL Band 27 17 44 Team Sports 64 46 110 Neither 13 22 ТОТAL 104 72 176 What percentage of those surveyed are girls? Round to the nearest percent. % are girls.
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.
A poll was taken of 12,729 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below. Education Level Male Female Total High School or Less 3577 2472 6049 Bachelor's Degree 3037 2585 5622 Master's Degree 480 464 944 Ph.D. 66 48 114 Total 7160 5569 12,729 A person is selected at random. Compute the following probabilities. b) What is the probability that the selected person does not have a Master's degree, given that he is male? What is the probability that the selected person has a Ph.D., given that she is female?

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