Dimensional random variables
Define one and two dimensional random variables (discrete and continuous) with suitable examples. State the probability functions, cumulative probability functions, probability distributions of each case.
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A running track is 1 mile long. Two runners start on it at the same time. The speed of Runner i is Xi, i = 1 and 2. Suppose Xi ~ exp(λi), i = 1, 2, and X1 and X2 are independent. The mean speed of Runner 1 is 20 mph and that of Runner 2 is
An automobile manufacturer gives a 5-year/60000 mile warranty on its drive train. Historically, 7% of this manufacturer's automobiles have required service under this warranty. Consider a random sample of 15 cars. What is the probability that exac
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Given that an adult takes prescription drugs regularly, what is the probability that the adult is 65 or older?
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The average male drinks 2L of water when active outdoors (with a standard deviation of 0.7L). You are planning a full day nature trip for 50 men and will bring 110L of water. What is the probability that you will run out?
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