Is hoticed that the probability that the test detects an infected = 80%. Use Baeye's rule to calculate the probability that a system is infected if this test indicates so (a
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- Suppose the probability of snow tomorrow is 0.4 while the probability of IU winning the basketball game tomorrow is 0.9. Assuming these events are independent, what is the probability that it snows and IU loses?A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.The time to recharge the flash is tested in a particular type of camera. The probability that this type of camera passes the test is 0.8, and the cameras perform independently. What is the probability that the third failure occurs in less than 7 tests?
- A hacker breaking into a computer system has a 15% chance of breaking into a system in 2 minutes, a 25% chance after 5 minutes, and a 60% chance after 20 minutes. What is the expected time will take the hacker to get in?A production line stops operating once a defective item is produced. The probability of producing a defective item is 0.001. What is the probability that the line stops production on the 1000 item produced.The probability that Blue locks soccer team will win a game is 7/11 while the probability of our opponent will win is 4/11?
- Nuclear power plants have redundant components in important systems to reduce the chance of catastrophic failure. Assume that a plant has two gauges to measure the level of coolant in the reactor core and that each gauge has probability 0.01 of failing. Assume that one potential cause of gauge failure is that the electric cables leading from the core to the control room where the gauges are located may burn up in a fire. Someone wishes to estimate the probability that both gauges fail, and makes the following calculation: P(both gauges fail) = P(first gauge fails) x %3D P(second gauge fails) = (0.01)(0.01) = 0.0001 What assumption is being made in this calculation? Explain why this assumption is probably not justified in the present case. a. b. Is the probability of 0.0001 likely to be too high or too low? Explain. C.Vehicles pass through a junction on a busy road at an average rate of 200 per hour. Determine the following: 1. The probability that less than 50 vehicles will pass through the junction in the next 30 minutes. 2. The probability that more than 200 will pass through the junction in the next 30 minutes.The mosquitos are out in your back yard, and they bite you at random times. Each bite happens independently of the last bite. The average time between bites is 2.501 minutes. What is the probability that it takes longer than 1 minutes for them to first bite you?
- Radio frequency identification (RFID) is an electronic scanning technology that can be used to identify items in a number of ways. One advantage of RFID is that it can eliminate the need to manually count inventory, which can help improve inventory management. The technology is not infallible, however, and sometimes errors occur when items are scanned. The probability that a scanning error occurs is 0.0069. 1. Find the probability that the number of items scanned incorrectly is between 16 and 20 , inclusive, from the next 5100 items scanned. *Kindly explain the procedure in Excel for this* A) The probability is (Round to four decimal places as needed.) 2. Find the expected number of items incorrectly from the next 5100 items B) The probability is (Round to four decimal places as needed.)The probability that a new computer functions for over 10,000 hours is 0.8, the probability that it functions for over 20,000 hours is 0.4 and the probability that it functions for over 30,000 hours is 0.1. If a new computer is still working after 10,000 hours, what is the probability that i. its total life will exceed 20,000 hours;ii. its additional life will exceed 20,000 hours?A certain disease has an incidence rate of 0.2%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.