A population has the following characteristics.(a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years.(b) The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year.The population now consists of 112 members in each of the three age classes. How many members will there be in each age class in 1 year?0 ≤ age ≤ 1112 X841 ≤age ≤ 22 ≤ age ≤ 328In 2 years?0 ≤ age ≤ 11 ≤ age ≤ 22 ≤ age ≤ 3846321xx>XX

Given offspring for members in population is 3 first year, 5 second year, 3 third year . From…

Answered: A population has the following…

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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Individual Membership Type Membership Charges per year,S Friends of Bird Park 39 Friends of River Safari 65 Friends of Singapore Zoo 105 Friends of Night Safari 105 Friends of Wildlife 145 Friends of Wildlife Plus 205 Of all the individuals who have taken up the annual membership, 20% hold Friends of Bird Park membership, 10% hold Friends of River Safari membership, 15% hold Friends of Singapore Zoo membership, 25% hold Friends of Night Safari membership, 10% hold Friends of Wildlife membership and 20% hold Friends of Wildlife Plus membership. Assume no individual can hold more than one type of membership. If a random sample of 30 members is selected, the distribution of the annual membership charges does NOT follow an approximately normal distribution. True O False
The table shows the leading causes of death in a certain country in a recent year. The population of the country was 311311 million. If you lived in a typical city of 500,000, how many people would you expect to die of cancercancer each year? Cause Deaths Cause Deaths Heart disease 596 comma 700596,700 Alzheimer's disease 84 comma 90084,900 Cancer 575 comma 300575,300 Diabetes 73 comma 40073,400 Chronic respiratory diseases 143 comma 100143,100 Pneumonia/Influenza 53 comma 40053,400 Stroke 128 comma 600128,600 Kidney disease 45 comma 30045,300 Accidents 122 comma 500122,500 Suicide 38 comma 60038,600 About people would be expected to die of cancer each year. (Type a whole number. Round to the nearest person as needed.)
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Suppose the entire cola industry produces only two colas. Given that a person last purchased cola 1, there a 70% chance that her next purchase will be cola 1. Given that a person last purchased cola 2, there is an 75% chance that her next purchase will be cola 2. Suppose that each customer makes one purchase of cola during any week (52 weeks=1 year). Suppose there are 150 million customers. One selling unit of cola costs the company $0.5 to produce and is sold for $2. For $200 million per year, Britney Spears (by an advertising song) guarantees to decrease from 30% to 15% the fraction of cola 1 customers who switch to cola 2 after a purchase. Should the company that makes cola 1 hire Britney Spears?
A building contains 1000 lightbulbs. Each bulb lasts at most five months. The company maintaining the building is trying to decide whether it is worthwhile to practice a “group replacement” policy. Under a group replacement policy, all bulbs are replaced every T months (where T is to be determined). Also, bulbs are replaced when they burn out. Assume that it costs $0.05 to replace each bulb during a group replacement and $0.20 to replace each burned-out bulb if it is replaced individually. How would you use simulation to determine whether a group replacement policy is worthwhile?
A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. Labor-Hours per Ski Maximum Labor-Hours Available per Day Department Fabricating Finishing Answer parts (A), (B), and (C) below. Trick Ski 6 1 Slalom Ski 4 1 (A) If the profit on a trick ski is $30 and the profit on a slalom ski is $40, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum profit is $ The maximum occurs when trick skis and 216 42 slalom skis are produced.
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stüdentS (3) The population is classified by their economic status: poor, middle-class and rich. Every year, people moving up and down the economic ladder according to From: To: рoor middle-class rich 0.9 0.05 0.05 рor middle-class 0.1 0.8 0.1 rich 0.02 0.02 0.96 In year 2011, a 100-family town is made up of 30 poor, 40 middle-class and 30 rich families, a. what will be the makeup of this town in year 2012? b. what will be the makeup of this town in year 2015? c. what was the makeup of this town in year 2010?
edo exercises 17 and 18 in section 8.1 of your textbook, about the small animal who lives in an area with woods and meadows, using the following data:If the animal is in the woods on one observation, then it is twice as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is three times as likely to be in the meadows as the woods on the next observation.Assume that state 1 is being in the meadows and that state 2 is being in the woods.(1) Find the transition matrix for this Markov process. (2) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? (3) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?
A population starts with 16 carpet beetles and in a week the population increase by 1 new beetle for every 4 beetles that were there the previous week which can be shown in the following table: Week 0 Week 1 Week 2 Week 3 = 31 Week 5 = 49 Week 4 16 20 25 = 39 How many beetles do you estimate there will be by Week 8?
Chetan
Sex (1=Male 2=Female) 1 2 Total Ever told heart disease (1=Yes 2=No) 1 Count 73 96 169 % within Ever told heart 43.2% 56.8% 100.0% disease (1=Yes 2=No) % within Sex (1=Male 10.2% 9.3% 9.7% 2=Female) % of Total 4.2% 5.5% 9.7% 2 Count 640 941 1581 % within Ever told heart 40.5% 59.5% 100.0% disease (1=Yes 2=No) % within Sex (1=Male 89.8% 90.7% 90.3% 2=Female) % of Total 36.6% 53.8% 90.3% Total Count 713 1037 1750 % within Ever told heart disease (1=Yes 2=No) 40.7% 59.3% 100.0% % within Sex (1=Male 100.0% 100.0% 100.0% 2=Female) % of Total 40.7% 59.3% 100.0% What percent of the sample is male and has heart disease? 4.2% 40.5% 43.2% 10.2%

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