To start this problem you'll find it useful to draw a tree similar to the one in the picture. Your probabilities will differ from those shown in the picture. 80 .00s 995 HR not HR .04 96 HR=high risk Four percent of the people in a certain city are in a high risk group for HIV infection, and 6% of the people in this high risk group are HIV positive. However, only 0.7% of the people who are not in the high risk group are HIV positive. (Hint: Pay special attention when converting percentages into a decimals in this problem.) Answer the following questions. (Give your answers correct to five decimal places.) (a) What is the probability that a randomly chosen person from this city is HIV positive? (b) What is the probability that a randomly chosen person from this city is both in the high risk group AND is HIV positive? (c) What is the probability that a randomly chosen person from this city is in the high risk group OR is HIV positive OR is both? (d) If you know that a specific person is HIV positive, what is the conditional probability that this person is in the high risk group?

To start this problem you'll find it useful to draw a tree similar to the one in the picture. Your probabilities will differ from those shown in the picture. 80 .00s 995 HR not HR .04 96 HR=high risk Four percent of the people in a certain city are in a high risk group for HIV infection, and 6% of the people in this high risk group are HIV positive. However, only 0.7% of the people who are not in the high risk group are HIV positive. (Hint: Pay special attention when converting percentages into a decimals in this problem.) Answer the following questions. (Give your answers correct to five decimal places.) (a) What is the probability that a randomly chosen person from this city is HIV positive? (b) What is the probability that a randomly chosen person from this city is both in the high risk group AND is HIV positive? (c) What is the probability that a randomly chosen person from this city is in the high risk group OR is HIV positive OR is both? (d) If you know that a specific person is HIV positive, what is the conditional probability that this person is in the high risk group?

Name: To start this problem you'll find it useful to draw a tree similar to
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: To start this problem you'll find it useful to draw a tree similar to the one in the picture. Your probabilities will differ from those shown in the picture..2080.005995HRnot HR.0496 HR=high riskFour percent of the people in a certain city are in a

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...

See similar textbooks

Similar questions

Suppose we measure GPA for people in our class, we find the mean is 2.8 and the median is 3.2. What can you say is most likely true about GPAs in our class?
Three friends are having a debate. They recently read that on average Americans drive 16 miles each way when computing to work by car (ABC News, 2007). Friend A suspects that the mean for Colorado residents is likely lower than the national average because the population density of Colorado increases the likelihood that people live closer to their jobs, while friend B suspects the mean for Colorado residents is likely higher than the national average. Friend C does not find either argument very convincing and instead suspects that the mean for Colorado residents is no different from the US population mean. The three friends bet a dinner at Alinea and set out to resolve the debate. Using a random sample of 20 Colorado residents, they calculate the mean for their sample to be 14.23 miles with a standard deviation of 2.34. The three friends did not pay very close attention in their statistics class, so they need your help making sense of these numbers. Compute the 95% confidence…
Approval 2008. Of all the post–World War II presidents,Richard Nixon had the highest disapproval rating near theend of his presidency. His disapproval rating peaked at 66% in July 1974, just before he resigned. This percent-age has been considered by some pundits as a high water mark for presidential disapproval. However, in April 2008,George W. Bush’s disapproval rating peaked at 69%,according to a Gallup poll of 1016 voters. Pundits starteddiscussing whether his rating was discernibly worse thanthe previous high water mark of 66%. What do you think?
(True/False). These data show that 80% of companies worth $75K or more are tracking the online and cellphone activity of 47% percent of US adults. (True/False). These data show that in comparison to companies, the government is less likely to track online activity. (True/False). These data show that companies run by individuals ages 18 to 29 years old are the most likely to track online activity. (True/False). These data show that the government is very likely to track Black adults (60%) and Hispanic adults (56%) and less likely to track White adults (43%).
L9Q1.The following table shows the mode of travel and the probability of risk. Choose the best mode of travel for a safe trip.
How will you apply the probabilities in real life as a engineer?
Frank noticed that his mother will serve salad with dinner 78% of the nights, will serve potatoes with dinner 30% of the nights and will serve both 14% of the nights. The probability, to the nearest hundredth, that Frank's mother will serve salad or potatoes is
snip
You are analysing a factory. Stage 3 of the manufacturing process has a 45% chance of finishing on time. If it does finish on time, the chance of Stage 4 finishing late is 20%. The overall chance of Stage 4 finishing on time is 71.2%. What is the chance that Stage 4 finishes late if Stage 3 finished late? Round your answer to 2 decimal places.
Suppose a weather report indicates that the probability of rain this week is 0.20. This week Next week According to the report, if it rains this week, then the probability of rain next Rain week is 0.33. If it does not rain this week, then the probability of rain next week is 0.17. The tree diagram models this weather report. 0.33 Rain 0.20 Determine the probability that it will not rain for the next two weeks. Express 0.67 No rain your answer as a decimal precise to two decimal places. Rain 0.17 probability = 0.80 No rain 0.83 No rain
Please all solve the question
There is a 30% chance it will snow on any one of the next 5 days. What is the chance it will snow at least 2 of those days?