Populations shifts in a certain city follow a particular pattern every year. If a person is living in the city they will stay in the city 50% of the time, move to the suburbs 0% of the time, and move out-of-state 50% of the time. If a person is living in the suburbs, they will move into the city 50% of the time, stay in the suburbs 20% of the time, and move out-of-state 30% of the time. If the person lives out-of-state, they will move to the city 10% of the time, move to the suburbs 10% of the time, and stay out-of state 80% of the time. Answer the following questions: 1.What is the probability a person living in the city will remain in the city for three subsequent years? 2.What is the probability that a person living out-of-state will be either living in the city or living in the suburbs two years from now?

Populations shifts in a certain city follow a particular pattern every year. If a person is living in the city they will stay in the city 50% of the time, move to the suburbs 0% of the time, and move out-of-state 50% of the time. If a person is living in the suburbs, they will move into the city 50% of the time, stay in the suburbs 20% of the time, and move out-of-state 30% of the time. If the person lives out-of-state, they will move to the city 10% of the time, move to the suburbs 10% of the time, and stay out-of state 80% of the time. Answer the following questions: 1.What is the probability a person living in the city will remain in the city for three subsequent years? 2.What is the probability that a person living out-of-state will be either living in the city or living in the suburbs two years from now?

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

Every day a school bus driver passes the same traffic light twice, once before school and once after. Each time he passes the light, he records if it is red, green, or yellow. Here is a summary of the data he got after 200 days. Traffic light before school red red red green green green yellow yellow yellow Traffic light after school red green yellow red green yellow red green yellow Number of days 25 38 12 34 36 11 16 13 15 Suppose the driver will continue recording the colors for 150 more days. In how many of these 150 days will the light be yellow exactly once? Use the data to make a prediction.
In a certain city, with a population of 1,000,000 people, 17 people have been infected with a disease. Five of these people are superspreaders. Superspreaders do not get sick, but will always be infected. Out of the remaining infected people, 50% do not get sick, and do not isolate, but will spread the disease for a week and then will no longer be infected. 35% will self-isolate and get better. The remaining 15% get sick and are admitted to hospital. Within a week, a superspreader will infect 0.1% of the population. A spreader is only infected for a week but will infect 0.01% of the population. Everyone in self-isolation will recover within a week. 50% of people in hospital will die, while the other 50% make a full recovery. a) Following this trend, what happens to the population over time?
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.
A researcher wishes to try three different techniques to lower the blood pressure of students diagnosed with high blood pressure in the school sickbay. The subjects are randomly assigned to three groups; the first group takes medication from the school nurse, the second group takes exercises led by the school sports master, and the third group follows a special diet from the school pantry. After four weeks, the reduction in each person’s blood pressure is recorded in the table below. TECHNIQUES Medication Exercise Diet 10 6 7 12 8 9 9 3 12 15 10 8 14 2. 5TOTAL 60 29. 41At α = 0.05, analyse this case study in a one way ANOVA
You are using cash to pay a $20 parking ticket. In your wallet you have one $5-dollar bill, three $10-dollar bills, and two $20 dollar bills, and you draw out one bill at a time at random until you have at least $20. If you keep track of each bill as you draw it out of the wallet, how many different ways are there for you to get at least $20?
A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45% of customers get the basic wash, 35% get the classic wash, and 20% get the ultimate wash. Some customers also vacuum out their cars after the wash. The car wash records show that 10% of customers who get the basic wash, 25% of customers who get the classic wash, and 60% of customers who get the ultimate wash also vacuum their cars. The probabilities are displayed in the tree diagram.What is the probability that a randomly selected customer purchases the basic or classic car wash if they vacuum their car?A) 0.13B) 0.48C) 0.52D) 0.80
1