A yeast culture weighing 2 grams is removed from a refrigerator unit and is expected to grow at the rate of W'(t) = 0.3 e 0.2t grams per hour at a higher controlled temperature. How much will the weight of the culture increase during the first 5 hours of growth? How much will the weight of the culture increase from the end of the 5th hour to the end of the 10th hour of growth? The weight increase during the first 5 hours is approximately grams. (Type an integer or decimal rounded to three decimal places as needed.) The weight increase from the 5th to the 10th hour is approximately grams. (Type an integer or decimal rounded to three decimal places as needed.)
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!
A yeast culture weighing 2 grams is removed from a refrigerator unit and is expected to grow at the rate of
grams per hour at a higher controlled temperature. How much will the weight of the culture increase during the first
hours of growth? How much will the weight of the culture increase from the end of the
hour to the end of the
hour of growth?
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