Due to pollution 25 percent of the people in a country suffer from a lung related desease and10 percent have another desease. For simplicity we assume that there are no people having boththis lung related desease and another desease. It is known that 50 percent of the people infectedby this lung related desease needs to be hospitalized in a hospital. From historical data it is alsoknown that 6 percent of the population needs to be hospitalized in a hospital due to other deseasesthen this lung related deseaseCompute the probability that a person needs to be hospitalized and the condi-tional probability that a person suffer from this lung related desease given that this person ishospitalized.The authorities do not know how many people in the country are suffering fromthis lung related desease and so the above 25 percent is not based on reality. To get anestimation of this percentage all the people in the country need to do some test to detect thislung related desease. The type I error of this test given by P(test is negative|person has thelung related desease ) = 0.4 and the type II error given by P(test is positive |person hasnot this lung related desease) equals 0.3 Of the population taking the test 40 percent testedpositive. Observe if the test is positive this means that according to the test the person hasthis lung related desease. Give an estimate of the fraction of the population having this lungrelated desease.In total the total population of the country is 100.000. Give an estimate of thenumber of beds necessary in the hospital using the updated estimate derived in part 2.

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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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Many regions in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. This has motivated many of the large grocery store chains to build new stores in the region. The Kelley’s Super Grocery Stores Inc. chain is no exception. The director of planning for Kelley’s Super Grocery Stores wants to study adding more stores in this region. He believes there are two main factors that indicate the amount families spend on groceries. The first is their income and the other is the number of people in the family. The director gathered the following sample information. Family Food Income Size 1 $ 5.04 $ 73.98 4 2 4.08 54.90 2 3 5.76 94.14 4 4 3.48 52.02 1 5 4.20 65.70 2 6 4.80 53.64 4 7 4.32 79.74 3 8 5.04 68.58 4 9 6.12 165.60 5 10 3.24 64.80 1 11 4.80…
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Many regions in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. This has motivated many of the large grocery store chains to build new stores in the region. The Kelley’s Super Grocery Stores Inc. chain is no exception. The director of planning for Kelley’s Super Grocery Stores wants to study adding more stores in this region. He believes there are two main factors that indicate the amount families spend on groceries. The first is their income and the other is the number of people in the family. The director gathered the following sample information. Family Food Income Size 1 $ 5.37 $ 73.98 4 2 4.08 54.90 2 3 5.76 156.22 4 4 3.48 52.02 1 5 4.20 65.70 2 6 4.80 53.64 4 7 4.32 79.74 3 8 5.04 68.58 4 9 6.12 165.60 5 10 3.24 64.80 1 11 4.80…

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