1. Suppose 0.1% of a population is infected with a certain disease. On a medical test 98% ofthose infected give a positive result, while 1% of those not infected give a positive result.For a randomly chosen person from this population:(a) What is the probability that he/she does not have the disease?(b) What is the probability that he/she tests positive?(c) If a randomly chosen person is tested and gives a positive result, what is the proba-bility that the person actually has the disease?

Answered: Image /qna-images/answer/c17a1ca3-f124-49b2-bb1a-f462a1ca7fdc.jpg

Answered: 1. Suppose 0.1% of a population is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A certain group of women has a 0.29% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness?
Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?
One prominent physician claims that 70% of those with lung cancer are chain smokers. If his assertion is correct, (a) Find the: probability that of 10 such patients recently admitted to a hospital, fewer than half are chain smokers: (b) Find the probability that of 20 such patients recently admitted to a hospital, fewer than half are chain smokers.
A test to determine whether a certain antibody is present is 99.4% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.4% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.006. Suppose the test is given to seven randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all seven people? (b) What is the probability that the test comes back positive for at least one of the seven people?
Suppose a math class contains 41 students. There are 18 females (three of whom speak Spanish) and 23 males (six of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?
A high percentage of people who fracture or dislocate a bone did not see a doctor for that condition. Suppose the percentage is 1%. Consider a sample in which 300 people are randomly selected who have fractured or dislocated a bone.i. What is the probability that fewer than four of them did not see a doctor?ii. What is the probability that more than seven of them did not see a doctor?
Suppose that it is known that 45% of eighteen-year-olds in a particular city do not have a driver's licence. If a random sample of 20 eighteen-year-olds is taken in the city, what is the probability that more than half of them will not have a driver's licence?
Suppose there is a 11.9% probability that a randomly selected person aged 35 years or older is a jogger. In addition, there is a 15.9% probability that a randomly selected person aged 35 years or older is female, given that he or she jogs. What is the probability that a randomly selected person aged 35 years or older is female and jogs? Would it be unusual to randomly select a person aged 35 years or older who is female and jogs? The probability that a randomly selected person aged 35 years or older is female and jogs is (Round to three decimal places as needed.).
During the 1971-72 season, the Los Angeles Lakers won 69 games and lost 13. Assuming that the outcomes of the basketball games are independent and that the percentageof wins this season will be the same as in 1971-1972, answer the following questions: (a) What is the probability that the Lakers will win the first twogames of the season? (b) What is the probability that the Lakers will win the first sevengames of the season?
27.4% of males and 22.8% of females never eat breakfast. Suppose that random samples of 200 men and 200 women are drawn. What is the probability that no more than 108 of these 400 people never eat breakfast?
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