1. A firm rents out cars and operates from three locations - the Airport, the Beach and the City. Customersmay return vehicles to any of the three locations. The company estimates that the probability of a car beingreturned to each location is as follows:AirportCar returned toCar hired fromAirport BeachCity121314 1312 34 13H444AFBeachCityFigure 1: Table of car-hire data.0(a) A car is currently parked in the city. What is the probability that, after being hired three times, it endsup in the city? [2 marks](b) A car is parked at the airport. On average, how many times will it need to be hired until it is left in thecity? [2](c) The firm has been running for many years with a fleet of 25 cars, of which 10 are currently on hire. Howmany of the other cars would you expect to be parked at each of the three locations? Explain your answerclearly. [4](d) Due to a coding error an intern accidentally inverts the list of dates of hire for the last year (so the mostrecent hire now looks like the first hire and the first hire looks like the most recent). The intern says nothingand hopes nobody will notice, will they be caught? Justify your answer. [2]

a) To find the probability that a car parked in the city ends up in the city after being hired three…

Answered: 1. A firm rents out cars and operates…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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There are three modes of transporting material from Boston to Houston: by land (either by highway or railway), seaor air. Half of the materials are transported by land20% by sea, and the rest by air. Also, 60% of all land transportation is by highway and the rest is by rail shipments.Cargo traveling by each mode of transportation has a different probability of being damaged during shipment. The percentages of damaged cargo are as follows: 12% by highway, 3% by rail, 5% by seaand 2% by airIf a damaged cargo is received, what is the probability that it was shipped by sea?
In the current first-year class of a community college, all the students come from three local high schools. Schools I, II, and III supply respectively 30%, 40%, and 30% of the students. The failure rate of students is 4%, 3%, and 6%, respectively. Given that a student passes, what is the probability that he or she came from school I?
The following table gives the percentage of students enrolled in one mathematics courses at a university. The college level transfer courses are College Algebra, Statistics, and Liberal Arts Math. PreAlgebra 5% Statistics Elementary Liberal Arts Algebra Math Intermediate Algebra %0% College Algebra 25% prials vas get A student who is taking only one mathematics course is selected. What is the probability a student is taking transfer level math? (Enter without a percent sign)
Role-playing games like Dungeons & Dragons use many different types of dice. Suppose that a four-sided die has faces marked 1, 2, 3, and 4. The intelligence of a character is determined by rolling this die twice and adding 1 to the sum of the spots. The faces are equally likely, and the two rolls are independent. What is the average (mean) intelligence for such characters?
Please help me determine what the probability was that it was a boy is
4. Consider the following table of grades from Mrs. Rossato's English Class. Grades A B D F Totals Males 8 17 12 8 50 Females 12 10 13 10 5 50 Totals 20 15 30 22 13 100 Part A: What is the probability that if a student was female, she got a passing grade? Part B: What is the probability of a male student, given that they failed? Part C: What is the probability of a female student, given that they got a "B"? Part D: What is the probability that the student is a male, given that that they are an "A" student?
1) The question screenshot attached down below just need final answer.
section 5.5 A personnel director has two lists of applicants for jobs. List 1 contains names of 24 women and 8 men, whereas List 2 contains the names of 9 women and 16 men. A name is randomly selected from List 1 and added to List 2. A name is then randomly selected from the augmented List 2. Given that the name selected is that of a man, what is the probability that a woman's name was originally selected from List 1? Round your answer to four decimal places, if necessary.
A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 2077 class attendees. The data is summarized in the table below. Class Type and Member Status of Class Attendees Class Type Member Non-Member Barre 238 205 Boot Camp 166 164 Boxing 285 233 Spinning 176 182 Yoga 178 250 ev What is the probability that a class attendee is a non-member of the gym and is attending a barre class or is a member of the gym and is attending a yoga class? Enter a fraction or round your answer to 4 decimal places, if necessary.
A cell phone company collects the following data for a month on their customers:The company plans to build a cell phone tower at any one of the areas. It is based on the probability of a customer available in a particular area in the month.Which area will they choose to build the tower?
An insurance company calculates car insurance company calculates car insurance premiums based on the age of the policyholder according to three age groups: Group A consists of drivers younger than 22 years old; Group B consists of drivers 22—33 years old, and Group C consists of drivers older than 33 years.Its portfolio consists of 10% Group A policyholders, 38% Group B policyholders and 52% Group C policyholders. The probability of a claim in any 12 month period for a policy belonging to Group A, B or C is 13%, 3% and 2%, respectively. (i) Calculate the probability that a randomly chosen policy holder from this portfolio will make a claim during a 12 month period. One of the company’s policyholders has just made a claim(ii) Calculate the probability that the policy holder is younger than 22 years.

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