Two water tanks are being drained at constant rates. • Water tank A has 220 gallons of water and is being drained at a constant rate of 5 gallons per minute.. • Water tank B has 180 gallons of water and is being drained at a constant rate of 3 gallons per minute. Part A How much time, in minutes, do water tank A and water tank B have to be drained in order for them to have the same amount of water? Show all the steps you took to find your answer. Respond in the space provided. Part B Which water tank, A or B, will be completely drained first? How much less time, in minutes, will it take this water tank to completely drain than the other water tank? Show or explain how you determined your answer. Respond in the space provided.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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