Suppose 3% of the population is infected by a virus. A medical test for infection was developed that returns a positive result 75% of the time on people who are infected; • returns a negative result 95% of the time on people who are healthy. Compute the probability that (i) a person is infected given they tested positive; (ii) a person is healthy given they tested negative.

Q: Suppose a county’s recent health report gives a pet allergy prevalence of 0.23 for kids. There is a…

A: Given: Probability of pet allergy prevalence, P(A)=0.23 kids Probability of no pet allergy…

Q: on an uninfected person. What is the probability that a randomly tested person from this area will…

A: given that

Q: A study was conducted to determine whether there were significant differences between medical…

A:

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A:

Q: If the probability that a student selected from the MST class is a Bartician is 0.01 and the…

A: It is given that  P( Bartician ) = 0.01 P( female and Bartician ) = 0.0065

Q: An agent sells life insurance policies to five equally aged, healthy people. According to recent…

A:

Q: The probability that a person with certain symptoms has hepatitis is 0.8. The blood test used to…

A: event A : has hepatitis event+ve : test positive     P(A) = 0.8 P(A') = 1 -0.8 =0.2 P(+ve|A) = 0.90…

Q: The weather in Montreal is approximately 50% sunny in the whole year afterwards of analytics.…

A:

Q: person who goes home from work has the opportunity to choose one of two ways. Their probability of…

A:

Q: Four out of 10 new cars are both foreign and need repair within 2 years. It is known that 7 out of…

A: Given that, Four out of 10 new cars are both foreign and need repair within 2 years. It is known…

Q: Suppose 3% of the people contacted by phone are receptive to a certain sales pitch and buy your…

A: given data  p = 0.03 n = 2000 P(x>100) = ?

Q: Assume that the incidence of a certain virus in a particular population is 4% and that a test…

A: It is given that, the incidence of a certain virus in a particular population is 4%.

Q: Environmentalists have accused a large company in the eastern United States of dumping nuclear waste…

A: The objective of this question is to find the probability that both the fish and the animals that…

Q: Many diagnostic tests for detecting diseases do not test for the disease directly but for a chemical…

A: Given that, Many diagnostic tests for detecting diseases do not test for the disease directly but…

Q: The National Vaccine Information Center estimates that 90% of Americans have had chickenpox by the…

A: It is given that 90% of Americans have had chickenpox by the time they reach adulthood.

Q: The number of customers arriving at the outtakes food stand during lunch hour is poison distributed…

A: Solution: Let X be the number of customers will arrive in one minute during lunch hour. From the…

Q: Suppose the likelihood of someone being allergic to cats is 1/1000 of the general population. A test…

A: The information provided provided in the question are as follows : The likelihood that a person is…

Q: medical test is conducted to determine whether someone has a disease. Suppose that 8% of population…

A: Using Baye's theorem this question can be answered.

Q: opose a computer chip manufacturer finds that 20% of the chips produced during the velopment phase…

A:

Q: Suppose you have been contracted by a pharmaceutical or diagnostic company to analyze a test for…

A: The given values are as follows: Ptest + influenza=0.90Ptest - no influenza=0.95 Pinfluenza=0.01…

Q: A hospital is examining a new detection kit for pancreatic cancer. The results of an early clinical…

A: To calculate: what is the probability that he/she actually has pancreatic cancer?

Q: Two students are working as part-time proofreaders for a local newspaper. Based on previous aptitude…

A:

Q: At the cartons  produced by a company 3% have a puncture 6% have a smashed corner and 0.4% have both…

A: Given that , cartons produced by a company, 3% have a puncture, 6% have a smashed corner, and 0.4 %…

Q: In a state where cars have to be tested for emission of pollutants, 25% of all cars emit excessive…

A: To find: the probability that a car fails the test.

Q: It has been found that 2 out of every 10 people who visit a retail website make a purchase worth R1…

A:

Q: The mosquitos are out in your back yard, and they bite you at random times. Each bite happens…

A: The average time between bites is 1.417 minutes. Each bite happens independently of the last bite.

Q: A blood bank asserts that a person with type O blood and a negative Rh factor (Rh−) can donate blood…

A:

Q: Suppose a county's recent health report gives a pet allergy prevalence of Pet allergy Test result…

A: Given in the diagram- P(pet allergy)=0.23P(no pet allergy)=0.77 When test is conducted then the test…

Q: A sample of 400 adults were surveyed on their health. 78 of those studied have high blood pressure,…

A: Solution: Given that : Total people = 400No of people that are unwilling to change diet = 94

Q: A test for a certain disease has a probability of 0.92 of detecting the disease when it is present…

A:

Q: What is the probability that 8 out of 12 customers will see dramatic results? What is the…

A:

Q: A recent survey showed that 94 adults out of a sample of 500 have high blood pressure. However, 108…

A: The objective of this question is to find the probability that a randomly chosen adult from the…

Q: A recent survey found that the probability that a student at a particular educational institution is…

A:

Q: disease occurs in 1% of the population. A diagnostic test gives a positive result in: 99% of people…

A: Find P(disease/ positive) = ?

Q: Suppose a county’s recent health report gives a pet allergy prevalence of 0.15 for kids. There is a…

A: Given data, P(Positive | Not have allergy)=0.07 P(Not have allergy)=1-0.15=0.85 P(Negative |…

Q: It is known that forty percent of mice inoculated with a serum are contracted from a certain…

A: (a)   Obtain the probability that none contracts the disease.   The probability that none…

Q: You are the manager of a manufacturing plant and you are responsible for quality control. Each day,…

A: In this problem, we are presented with a scenario where a quality control technician tests a random…

Q: Suppose a cruise ship returns to the United States from an overseas voyage. Unbeknownst to anyone, 4…

A: # let x be the nonof passenger having disease follow binomial distribution (n=20, p=1/150)  Then to…

Q: It is known from past eperience that the probability that a person has cancer is 0.15 and the…

A: