Deveney likes to take time off from playing to research rare cellular structures. Last summer, she discovered a previously unknown cell and created 5kg of a rare substance. After making some observations, she determined this new cell decays exponentially and has a half-life of 2 days. a. Write an equation that related the remaining amount of the rare molecule a(t) to time t. b. After how many days will Deveney have only -kg left? c. When she returns to the lab, her sample will be 30 days old. How much will be remaining?
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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