Each of 27 tourists was asked which of the countries Angola (A), Burundi (B) andCameroon (C) they had visited. Of the group, 15 had visited Angola, 8 had visitedBurundi, 12 had visited Cameroon, 2 had visited all three countries, and 21 had visitedonly one. Of those who had visited Angola, 4 had visited only one other country. Ofthose who had not visited Angola, 5 had visited Burundi only. All of the tourists hadvisited at least one of these countries.(a) Draw a fully labelled Venn diagram to illustrate this information.(b) Find the number of tourists in set Bc and describe them.(C) Describe the tourists in set (A N B) UCc and state how many there are.(d) Find the probability that a randomly selected tourist from this group had visitedat least two of these three countries.

According to the answering guidelines, we can answer only three subparts of a question and the rest…

Answered: Each of 27 tourists was asked which 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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For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.Use the information below for Part A, Part B, and Part C. Every person at the park received a ticket. Of those tickets, only 45 were winning tickets. In a random sample of 25 people, 2 people had winning tickets.Part A: Write a ratio to represent the number of winning tickets to all tickets in the sample population.Part B: Make a reasonable claim or prediction about the population at the park.Part C: Justify your answer to Part B by showing your work.
Each American family is classified as living in an urban, suburban or rural location. During a given year, 15% of all urban families move to a suburban location, and 5% move to a rural location; also, 6% of all suburban families move to an urban location, and 4% move to a rural location; finally, 4% of all rural families move to an urban location, and 6% move to a suburban location. a.If a family now lives in an urban location, what is the probability that it will live in an urban area two years from now? b. If a family now lives in an urban location, what is the probability that it will live in a suburban area two years from now? c. If a family now lives in an urban location, what is the probability that it will live in a rural area two years from now? d. Find the steady-state probabilities.
Each American family is classified as living in an urban, rural, or suburban location. During a given year, 15% of all urban families move to a suburban location, and 5% move to a rural location; also, 6% of all suburban families move to an urban location, and 4% move to a rural location; finally, 4% of all rural families move to an urban location, and 6% move to a suburban location. a If a family now lives in an urban location, what is the probability that it will live in an urban area two years from now? A suburban area? A rural area? b Suppose that at present, 40% of all families live in an urban area, 35% live in a suburban area, and 25% live in a rural area. Two years from now, what percent- of American families will live in an urban area? c What problems might occur if this model were used to predict the future population distribution of the United States? age
USE THE FOLLOWING INFORMATION TO ANSWER THE NEXT TWO QUESTIONS. At a particular university, 60 % of the students who apply for admission are in-state residents, 30 % are from other states, and the remaining applicants are international students. 35 % of in-state applicants are admitted, 25 % of applicants from other states are admitted, and 20 % of international applicants are admitted. 13) What percent of applicants are admitted?
A survey of 150 freshmen business students at a local university produced the results listed below. How many students took only religion? 35 took history;42 took science;43 took religion;19 took history but not science;14 took science and religion;15 took history and religion;6 took all three
You work at McKinsey Company and you are in charge of assigning 6 new consultant analysts to projects. There are 5 projects in total. For a given project, up to 3 new consultants can be assigned (i.e., either 0,1,2 or 3 consultants will be assigned to each project). Each consultant is assigned to exactly one project. The table below indicates on which projects the new consultants can be assigned based on their skills and areas of expertise. Project A Project B Project C Project D Project E Consultant 1 Yes Yes Yes No Yes Consultant 2 No Yes No No Yes Consultant 3 Yes No No Yes Yes Consultant 4 Yes Yes Yes Yes No Consultant 5 Yes…
According to the United States Census Bureau (2011 data), there are approximately 55,500,000 married couple households in the United State. Every married-couple household is classified into one of three categories:• both native which means that both spouses were born in the U.S.• both foreign which means that both spouses were born outside of the U.S.• one native, one foreign which means that one spouse was born in the U.S. and one was born outside of the U.S..If 79.5% of married couple households are both native and 13.2% are both foreign, then(a) what percentage of married couple households are one native, one foreign % married couple households are one native, one foreign(b) how many married couple households are one native, one foreign? married couple households are one native, one foreign
1) In a ballroom dance competition, each couple is identified by a number worn on the leader's back. At a recent competition, forty couples competed. Their numbers are listed below: 109 111 118 122 123 128 132 136 145 153 160 165 171 176 182 184 188 190 193 199 202 205 210 213 217 222 230 233 236 243 248 252 255 258 264 270 273 276 281 287 Dances at the competition are organized into heats, with each heat consisting of a particular group of dancers doing a particular dance. A portion of the Heat Schedule is given below, with the couples listed for twelve heats of ChaCha, Rumba, and Swing: Heat 39 Heat 40 Heat 41 Heat 42 Heat 43 Heat 44 Chacha Rumba Swing Chacha Rumba Swing 109 109 109 128 123 122 123 122 123 136 128 128 136 165 190 153 165 136 176 176 222 160 184 145 188 182 230 176 199 153 217 243 205 205 160 193 258 233 213 184 213 222 264 243 233 255 252 233 264 248 264 264 264 276 270 255 281 270 276 281 Heat 49 Heat 50 Heat 48 ChaCha Heat 46 Heat 47 Heat 45 ChaCha Rumba Swing…
Amy has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Amy has recorded the travel times for samples of eight trips via the 10 Freeway and eight trips via the 60 Freeway. The following table gives the travel times (in minutes) for the sixteen trips: Travel times in minutes 10 Freeway 73, 69, 72, 71, 73, 73, 72, 73 60 Freeway 80, 75, 68, 72, 73, 81, 67, 75 Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.1 level of significance, that the mean travel times of the two routes are different? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list…

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