Let X₁~N(-1,5), X₂~N(3,2), X3~N(0,1). They are independent rv's. Find the probability distribution for Z = X₁ - 2X₂ + 3X3.
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![Let X₁~N(-1,5), X₂~N(3,2), X3~N(0,1). They are independent rv's. Find the
probability distribution for Z = X₁ - 2X₂ + 3X3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffebc1ce5-c92f-4b44-91a6-927941023ef8%2F059a7f20-d14c-47f1-8b75-35e68aab8c79%2Fec9g33w_processed.png&w=3840&q=75)
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- A delivery truck travels from point A to point B and back using the same route each day. There are four traffic lights on the route. Let X1 denote the number of red lights the truck encounters going from A to B and X2 denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (X1, X2) is given by Please show complete solution.The table summarizes results from 975 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 41 68 No 258 608 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated or the driver was not intoxicated. Please enter a decimal to 4 decimal places.Probability =The table summarizes results from 983 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 42 85 No 243 613 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated or the driver was not intoxicated. Please enter a decimal to 4 decimal places.Probability =
- The time between busses on Stevens Creek Blvd is 12 minutes. Therefore the wait time of a passenger who arrives randomly at a bus stop is uniformly distributed between 0 and 12 minutes. Find the probability that a person randomly arriving at the bus stop to wait for the bus has a wait time of at most 5 minutes.Find the probability that a driver with at least one collision in the past year is a middle aged adult driver.Assume the flying height of an airplane is a Gaussian Random variable X with ax = 5000 m and ox=2000 m. Find the probability of the airplane flying higher than 10000 m. Use the table method.
- The table summarizes results from 988 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 48 77 No 217 646 If one of the pedestrian deaths is randomly selected, find the probability that both the pedestrian and the driver were intoxicated. Please enter a decimal to 4 places.Probability =The table summarizes results from 975 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 47 75 No 252 601 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated but the driver was. Please enter a decimal to 4 places.Probability =The table summarizes results from 985 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Pedestrian Intoxicated? Intoxicated? Yes No Yes 42 72 No 273 598 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated. Please enter a decimal to 4 decimal places. Probability= =
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