A new, simple test has been developed to detect a particular type of cancer. The test must be evaluatedbefore it is put into use. A medical researcher selects a random sample of 1,000 adults and finds (by othermeans) that 1% have this type of cancer. Each of the 1,000 adults is given the test, and it is found that thetest indicates cancer in 96% of those who have it and in 1% of those who do not. Based on these results,what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Of aperson having cancer given that the test does not indicate cancer?Based on these results, what is the probability of arandomly chosen person having cancer given thatthe test indicates cancer?(Round to three decimal places as needed.)What is the probability of a person having cancergiven that the test does not indicate cancer?(Round to six decimal places as needed.)... .

It is given that 3% have the type of cancer. that is, PCancer=0.03, it is also found that the test…

Answered: A new, simple test has been developed…

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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Magnetic surveying is one technique used by archaeologists to determine anomalies arising from variations in magnetic susceptibility. Unusual changes in magnetic susceptibility might (or might not) indicate an important archaeological discovery. Let x be a random variable that represents a magnetic susceptibility (MS) reading for a randomly chosen site at an archaeological research location. A random sample of 120 sites gave the readings shown in the table below. Magnetic Susceptibility Readings,centimeter-gram-second ✕ 10−6 (cmg ✕ 10−6) Comment MagneticSusceptibility Number ofReadings EstimatedProbability "cool" 0 ≤ x < 10 30 30/120 = 0.25 "neutral" 10 ≤ x < 20 54 54/120 = 0.45 "warm" 20 ≤ x < 30 24 24/120 = 0.20 "very interesting" 30 ≤ x < 40 6 6/120 = 0.05 "hot spot" 40 ≤ x 6 6/120 = 0.05 Suppose a "hot spot" is a site with a reading of 40 or higher. (c) What is the probability that you will need more than five readings to find the first…
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