o. In a certain region of the country it is known From past experience that theprobability of sele Cting an adult over 40 years of age with cancer is 0:05. If theprobability of a doctor correctly diagnosing a person with cancer as having the di sease is0-18 and the probability of incorrectly diagrosing a person without cancer as having thedisease is 0.00a. What is the probability that an adult over 40 yearı of age is diagnos ed as havingCancer ?b. what is the prooability that a person diagnosed as having cancer actually has thedisease?

here define events adult has cancer = C doctor diagnosing person as positive = T p(C )= 0.05 p(C…

Answered: a. What is the probability that an…

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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Respondent University Graduate Non-Graduate Total A: Smoker 14 26 40 B: Non-smoker 6 4 10 Total 20 30 50 A researcher collected a sample of 50 respondents in a mall. The data is as above. Calculate a) probability (A) b) probability (University graduate)
Suppose there is a 26.6% probability that a randomly selected person aged 20 years or older is a jogger. In addition, there is a 12.4% probability that a randomly selected person aged 20 years or older is male, given that he or she jogs. What is the probability that a randomly selected person aged 20 years or older is male and jogs? Would it be unusual to randomly select a person aged 20 years or older who is male and jogs? The probability that a randomly selected person aged 20 years or older is male and jogs is (Round to three decimal places as needed.).
A research center poll showed that 81% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief? ..... The probability that someone does not believe that it is morally wrong to not report all income on tax returns is (Type an integer or a decimal.)
Suppose there is a 21.9% probability that a randomly selected person aged 25 years or older is a smoker. In addition, there is a 26.9% probability that a randomly selected person aged 25 years or older is male, given that he or she smokes. What is the probability that a randomly selected person aged 25 years or older is male and smokes? Would it be unusual to randomly select a person aged 25 years or older who is male and smokes
10% of tax returns from Region A contain fraud. 15% of returns from Region B contain fraud. If 70% of returns come from Region A, what is the probability that a fraudulent return comes from Region A? (n = 1,000).
Suppose there is a 17.6% probability that a randomly selected person aged 35 years or older is a jogger. In addition, there is a 12.8% probability that a randomly selected person aged 35 years or older is male, given that he or she jogs. What is the probability that a randomly selected person aged 35 years or older is male and jogs? Would it be unusual to randomly select a person aged 35 years or older who is male and jogs? The probability that a randomly selected person aged 35 years or older is male and jogs is (Round to three decimal places as needed.).
Products coming through an assembly line are visually inspected by two succes- sive inspectors. When a defective item comes through the inspection line, the probability that it escapes the first inspector’s notice is 0.1. Suppose also that the second inspector will fail to catch 40% of defective items that pass by the first inspector. What is the probability that a defective item will escape the notice of both inspectors? What is the probability that a defective item is missed by the first inspector but then detected by the second inspector?
Bad gums may mean a bad heart. Researchers discovered that 81% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums. Only 32% of healthy people have this disease. Suppose that in a certain community heart attacks are quite rare, occurring with only 11% probability. If someone has periodontal disease, what is the probability that he or she will have a heart attack?
A survey conducted by the Segal Company of New York found that in a sample of 189 large companies, 40 offered stock options to their board members as part of their non-cash compensation packages. For small-to-mid-sized companies, 43 of the 180 surveyed indicated that they offer stock options as part of their non-cash compensation packages to their board members. Company Size Stock Options Large Small-to-midsized Yes 40 43 No 149 137
Assume that there is a 9% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? a. With two hard disk drives, the probability that catastrophe can be avoided is (Round to four decimal places as needed.)
Assume that there is a 4% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. If copies of all your computer data are stored on three independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? a. With two hard disk drives, the probability that catastrophe can be avoided is (Round to four decimal places as needed.) b. With three hard disk drives, the probability that catastrophe can be avoided is (Round to six decimal places as needed.)
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a. What is the probability that an adult over 40 years of age is diagnos ad as having Cancer ? b what is the probability that a person diagnosed as having cancer actualy has the disease?