16Suppose that components are available, and that each component has a probability of 0.90 of operating correctly, independent of the other components. What value of nis needed so that there is a probability of at least 0.995 that at least one component operates correctly?
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- The probability of a randomly selected adult in one country being infected with a certain virus is 0.002. In tests for the virus, blood sample tests from 13 people are combined. What is the probability that hte combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus.The probability that I park my car in a garage on Monday is .3. The probability that I park my car in a garage onTuesday is .25. If parking my car in a garage on Tuesday is independent of my parking my car in a garage onMonday, what is the probability that I neither park my car in a garage on Monday nor on Tuesday?In a 300-person focus group, 60% of participants like durian. It turns out that 9. people who like durian complete durian-related surveys with probability of 0.6, while people who do not like durian complete those surveys with probability of 0.8. Assume that these probabilities are independent of everyone else. Estimate the probability that more people who do not like durian filled out the surveys than the people who like durian in the focus group.
- Suppose you just received a shipment of twelve televisions. Three of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one of the two televisions does not work? The probability that both televisions work is (Round to three decimal places as needed.)Peter fails quizzes with probability 1/4, independent of other quizzes. What is the probability that the second and third time Dave fails a quiz will occur when he takes his eight and ninth quizzes respectively?Suppose that each time Bar-bie throws a dart, she has a 3/4 probability of getting a bullseye. If Barbie shoots three darts, what is the probability that she gets a bullseye on at least two of them?
- A laboratory blood test is 99 percent effective in detecting a certain disease when it is, in fact, present. However, the test also yields a "false positive" result for 1 percent of the healthy persons tested. (That is, if a healthy person is tested, then, with probability .01, the test result will imply he or she has the disease.) If .5 percent of the population has the disease, what is the probability that a person has the disease given that his test result is positive?A state government hired a contractor for a road-construction project. The contractor's type, its cost efficienciency, is unknown to the government. There is 2/3 probability of the its construction cost being 3 (billion dollars per lane) and 1/3 probability of the cost being 5. More lanes yield more social benefit in the form of faster travel and fewer accidents. The social value V (measured in billions of dollars) from having N lanes on the highway is: V-15N-N?/2. The government is interested in choose N and writing a contract to maximize the benefit to the state (V) net of the fee paid to the contractor (call it F); G-V-F. Your goal as a government official is to design a pair of contracts to separate the types of contractor. You want the contractor to choose "Contract L: Build N lanes and get paid RL dollars" if its cost type is low cost of $3 (billion dollars per lane) and to choose "Contract H: Build NH lanes and get paid RH dollars" if its cost type is high cost $5 (billion…Q. 1 It is estimated that 80% of emails are spam emails. Some software has been applied to filter these spam emails before they reach our inbox. A certain brand of software claims that it can detect 99% of spam emails, and the probability for a false positive (a non-spam email detected as spam) is 5%. Now if an email is detected as spam, then what is the probability that it is in fact a non-spam email? event A: email is spam; event B: email is detected as spam. Assume that
- Tyson Corp. stock has returns of 3%, 18%, -24%, and 28% for the past four years. Based on this information, what is the 99% probability range for any one given year? Select one: Oa 24.5 to 34.3% O b.-61.7 to 74.2% OC.-8.4 to 11.7% Od.-16.4 to 28.9% e. 39.0 to 51.5%why does in a it didn't use 1-p(z>-1.26)? What is the right way to use "1-probability" of z? Is it for more than z values?