Figures obtained from a city’s police department seem to indicate that, of all motor vehicles reported as stolen, 64% were stolen by professionals, 36% were stolen by amateurs (primarily for joy rides). Of those stolen by professionals, 24% were recovered within 48 hr, 16% were recovered after 48 hr and 60% were never recovered. Of those vehicles presumed stolen by amateurs, 38% were recovered within 48 hr, 58% were recovered after 48 hr and 4% were never recovered. a) Draw a tree diagram representing the situation. b) What is the probability that a vehicle stolen by a professional in this city and will be recovered within 48 hr? c) What is the probability that a vehicle stolen in this city will never be recovered?

Figures obtained from a city’s police department seem to indicate that, of all motor vehicles reported as stolen, 64% were stolen by professionals, 36% were stolen by amateurs (primarily for joy rides). Of those stolen by professionals, 24% were recovered within 48 hr, 16% were recovered after 48 hr and 60% were never recovered. Of those vehicles presumed stolen by amateurs, 38% were recovered within 48 hr, 58% were recovered after 48 hr and 4% were never recovered. a) Draw a tree diagram representing the situation. b) What is the probability that a vehicle stolen by a professional in this city and will be recovered within 48 hr? c) What is the probability that a vehicle stolen in this city will never be recovered?

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...

See similar textbooks

Similar questions

For this same class, the relationship between the amount of time spent studying and the amount of time spent socializing per week was also examined. It was determined that the more hours they spent studying, the fewer hours they spent socializing. Is this a positive or negative association?
A study was done to know if there is a relationship between obesity and atherosclerosis. A total of 775 participants was studied and there were about 312 participants with atherosclerosis. About 309 participants were not atherosclerotic and not obese, and of the 312 atherosclerotic participants about 143 were not obese. TOTAL TOTAL 10. What is the incidence among those who are obese? 11. What is the incidence among those who are not obese? 12. What is the incidence of atherosclerosis that can be attributed to obesity? Use the already rounded-off answers in the previous items when computing.
In 1940, 2,000 women working in a factory were recruited into a study. Half of the women worked in manufacturing and half in administrative offices. The incidence of bone cancer through 1970 among the 1,000 women working in manufacturing was compared with that of 1,000 women working in administrative offices. Thirty of the women in manufacturing developed bone cancer as compared to 9 of the women in administrative offices. Identify what type of study this is.
i need the answer quickly
To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with larg given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income Itemized Deductions ($1,000s) 22 ($1,000) 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 120 15.7 25.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 25 20 15 10 5 30 25 20 15 10 5+ 30 25- 20- 15- 10- .. 5- 0 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 0 20 40 60 80 100 120 140 0 Adjusted Gross Income ($1,000s) 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 30 25 20 15 10 5- 0 20 40 60 80 100 Adjusted Gross Income ($1,000s) 120 140 G (b) Use the least squares method to…
At the auction of the music collection, there is 1 masterpiece sheet music whose composer is unknown. A professor from the College of Music, Universität der Künste Berlin was asked to analyze who the score composer is. You are asked to help analyze statistically. The professor saw there were 2 names who may have been the composer, namely: Johann Strauss II and Tchaikovsky. The the professor also provides general data, namely the average number of tones per bar of each composer. Give the results of your analysis, who is the composer of the sheet music. Calculations are made using a spreadsheet! Note: Take the last 3 digits of your ID (2602296545 ). Use the step below: 1. For example, for example ID 2602296545 → 545 is taken. 2. Replace number 5 with number 1; example: ID 545 → 145 3. Last 3 digits of your new ID == abc; example 145: a = 1, bc = 45.
(True/False). These data show that 80% of companies worth $75K or more are tracking the online and cellphone activity of 47% percent of US adults. (True/False). These data show that in comparison to companies, the government is less likely to track online activity. (True/False). These data show that companies run by individuals ages 18 to 29 years old are the most likely to track online activity. (True/False). These data show that the government is very likely to track Black adults (60%) and Hispanic adults (56%) and less likely to track White adults (43%).
How much more likely are alcoholics to say sober for a year after counseling if their best friend is not an alcoholic vs. if their best friend is an alcoholic? A researcher tracked 747 alcoholics whose best friends were not alcoholics and 517 alcoholics whose best friends were alcoholics. A year later 570 of those whose best friends were not alcoholics stayed sober for the year and 207 of those whose best friends were alcoholics stayed sober for the year. 1. Come up with the 99% confidence interval for the difference. Round your answers to four decimal places and present your answers as proportions rather than percents. ( __________ , ____________ )
Some commercial airlines recirculate about half the air in the cabin during flights as a way to improve fuel efficiency. Other airlines make a policy of NOT recirculating the air and instead, have fresh air from the atmosphere constantly being inserted into the cabin with the “old” air being pumped out of the plane. A total of 1100 passengers flying from San Francisco to Denver were used for an experiment. After their flight, they were each given a list of symptoms associated with the common cold. They were asked to report if they experienced cold symptoms within 24 hours of the flight landing. Of the 517 passengers who flew on planes that recirculate the air, 108 reported post-flight cold symptoms. Of the 583 passengers who flew on airlines that do not use recirculation in the cabin, 110 reported symptoms. Suppose now that we want to use the recirculation of air data to explore “Goal #2”, which is to resolve a hypothesis test about . a) If we want to resolve this hypothesis…
Suppose we know that at a University XYZ that 30% of students receive an A in their introductory statistics class, 30% receive a B, 20% receive a C, 10% receive a D, and 10% receive an F. For comparison, a sample of 300 students at University ABC is taken and 20% received an A, 28% received a B, 26% received a C, 15% received a D, and the remaining students failed the class. When testing (at the 5% level of significance) whether the proportions between the two universities are different, what is the null and alternative hypotheses
It is known that 9 out of 10 people are right handed. Would 35 right handed people out of group of 93 be considered significantly low, significantly high, or neither? Show your work below.