P(Safety Belt Malfunctions) = 0.02P(Worker Doesn't Wear Belt) = 0.08P(Boot Failure) = 0.05P(Wind/Rain) = 0.04Supposed we have the following probabilities:Assume:●What is the probability of a SCAFFOLDING ACCIDENT?●Safety BeltMalfunctions●Worker Doesn'tWear Belt●Boot FailureRain/Wind(Need a supplier with lower failure rate!)(Need mangers who hold workers accountable. Need to hire better workers!!)(Need workers who are more careful!)(Need to pay attention to weather!)Safety Belt Malfunctions and Worker Doesn't Wear Belt are MUTUALLY EXCLUSIVE.Worker Slips and Wind/Rain could happen at the same time. So, these events are NOT MUTUALLY EXCLUSIVE.Worker Slips and Wind/Rain events are INDEPENDENT.Safety Belt Doesn't Save Worker and Worker Slips events are INDEPENDENT. Suppose a company is investigating an accident where a worker fell from a scaffolding and the following fault tree wascreated (very simplistic for demonstration purposes).P(Safety Belt Malfunctions) = 0.02P(Worker Doesn't Wear Belt) = 0.08P(Boot Failure) = 0.05P(Wind/Rain) = 0.04ScaffoldingAccidentSafety BeltDoesn't SaveWorkerSupposed we have the following probabilities:Assume:Safety BeltMalfunctionsWorker Doesn'tWear BeltWhat is the probability of a SCAFFOLDING ACCIDENT?Worker SlipsBoot FailureRain/Wind(Need a supplier with lower failure rate!)(Need mangers who hold workers accountable. Need to hire better workers!!)(Need workers who are more careful!)(Need to pay attention to weather!)Safety Belt Malfunctions and Worker Doesn't Wear Belt are MUTUALLY EXCLUSIVE.

Answered: Image /qna-images/answer/3e3e21b6-0541-465a-9c9b-20783eb2935c.jpg

Answered: Supposed we have the following…

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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6)
8. You manage a call center and your job is to make sure the employees aren't slacking off when they are on the clock. You notice that one employee goes 20 minutes without picking up the phone, and you know the expected time between calls is 2 minutes. Derive an upper bound for the probability that the employee didn't receive a call during the 20 minutes.
Suppose we flip a coin 13 times and it is weighted so the probability of getting a heads (a success) is .65. What is the probability of getting at most 6 heads? P (x < 6) (Round to four decimal places) Suppose we flip a coin 13 times and it is weighted so the probability of getting a heads (a success) is .65. What is the probability of getting more than 6 heads? P (x > 6) (Round to four decimal places)
15. (Disease test): According to the clinical records, the accuracy rate of a certain cancer diagnosis test is 95%, that is, the probability of cancer patients being diagnosed with cancer and the probability of healthy people being told to be healthy are both 95%. Now, the general survey in natural population is carried out, and the prior probability of the tested person suffering from cancer is 0.006. Find out the probability of the diagnosed person suffering from cancer when the test results are known to be positive. (Let A="the test reaction is positive" and C= "the diagnosed person has cancer")
25. A survey showed that 82% of adults need corection (eyeglasses, contacts, surgery, etc.) for their eyesight IF 21 adults are randomly selected, find the probabity that no more than 1 of them need corection for their eyesight. Is 1 a significanty low number of adults requining eyesight correction? The probability that no more than 1 of the 21 adults require eyesight corection is? (Round to three decimal places as needed)
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. .20 80 .005 995 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…
19. In a battery factory there are two production lines (A and B). The probability of a battery failing is known to be 0.04. If 40% of production is done on line A, what is the probability that, when selecting a battery at random, it will occur on line B and be defective?

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