A recent study on the factors of diabetes finds that 95% of those who drink sodaon a daily basis end up having diabetes. 12% of all people drink soda every day.The study further reveals that having diabetes and drinking soda have nocorrelation with (i.e., independent from) having depression.(i)Assume that 15% of all people are diabetic and 20% of all people havedepression. What is the probability that a particular person drinks sodadaily and is also diabetic and depressed?(ii)Assume that 10% of those who do NOT drink soda daily have diabetes.What is the probability of a person drinking soda daily if he is diabetic?

Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Answered: A recent study on the factors of…

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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R4.1. Quality control A consumer organization estimates that 29% of new cars have a cosmetic defect, such as a scratch or a dent, when they are delivered to car dealers. This same organization believes that 7% have a functional defect- something that does not work properly-and that 2% of new cars have both kinds of problems. a) If you buy a new car, what's the probability that it has some kind of defect? b) What's the probability it has a cosmetic defect but no functional defect? c) If you notice a dent on a new car, what's the probability it has a functional defect? d) Are the two kinds of defects disjoint events? Explain. e) Do you think the two kinds of defects are independent events? Explain.
A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 63.8%. What is the probability that in a random sample of 440 headache sufferers, less than 59.7% obtain relief
An airline is considering adding a route to the city of Buffalo, NY. Market research predicts that if the airline serves Buffalo, there is a 32% probability of making a $500,000 profit, a 22% chance of breaking even, and a 46% probability of losing $300,000. What is the expected value of adding a route to Buffalo?
WFC Average St. Dev. Min 0.65% 10.26% -28.99% Мах 27.51% 25. Based on the table above, what is the probability of losing -7% or more for WFC? A. 0.07 B. 0.14 C. 0,23 D. 0.29 %3D E. 0.31 26. If you have $200,000 invested in WFC, what is the dollar value of VaR of losing -7% or more? A. $14,000 B. $28,000 C. $46,000 D. $58,000 E. $62,000 27. Based on the table above, there is 30% chance that your losses for WFC will be greater than A. -0,30% B. 2.15% C. 4.73% D. 7% E. -14% 28. Based on the table above, there is 30% chance that your dollar losses for WFC will be greater than if you have $200,000 invested in ti? A. -S600 B. $4,300 C. -$9,460 D. -$14,000 E. S28,000
Addiction Medicine. The report “Addiction Medicine: Closing the Gap between Science and Practice” from the National Center on Addiction and Substance Abuse at Columbia University reveals that addiction treatment is neglected by the medical system in the United States. It shows, in particular, that 16% of Americans have the disease of addiction and that 90% of them receive no form of treatment. Determine the probability that a randomly selected American has the disease of addiction and receives no form of treatment. Interpret your answer in terms of percentages.
3.7% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 90.2% of those who have the disease test positive. However, 3.9% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive?
A global research study found that the majority of today's working women would prefer a better work-life balance to an increased salary. One of the most important contributors to work-life balance identified by the survey was "flexibility," with 41% of women saying that having a flexible work schedule is either very important or extremely important to their career success. Suppose you select a sample of 100 working women. c. What is the probability that in the sample more than 45% say that having a flexible work schedule is either very important or extremely important to their career success? _____(Round to four decimal places as needed.)
A survey to determine viewer response to a new television show obtained the following data. Rating Frequency Poor 4 Below average 9 Average 11 Above average 14 Excellent 12 (a) What is the probability that a randomly selected viewer will rate the new show as average or better? (b) What is the probability that a randomly selected viewer will rate the new show below average or worse
Bicycles for hire at the Durban Beach front are deemed beyond repair when one or both itswheels are damaged. According to current statistics, there is an 8% chance that the front wheelgets damaged and a 12% chance the back wheel gets damaged.What is the probability that a hired bike will be deemed beyond repair, provided that the wheelsget damaged independently of each other?
Use the given probability value to determine whether the sample results could easily occur by chance, then form a conclusion. A study of the effect of seatbelt use in head-on passenger car collisions found that drivers using a seatbelt had a 64.1% survival rate, while drivers not using a seatbelt had a 41.5% survival rate. If seatbelts have no effect on survival rate, there is less than a 0.0001 chance of getting these results. What do you conclude? The probability shows that the sample results ▼ could could not have easily occurred by chance. It appears that there ▼ is is not sufficient evidence to conclude that seatbelts do have an effect on survival rate.

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