This exercise uses the population growth model. A certain culture of the bacterium Rhodobacter sphaeroides initially has 40 bacteria and is observed to double every 4 hours. (a) Find an exponential model n(t) = n02t/a for the number of bacteria in the culture after t hours. n(t) = (b) Estimate the number of bacteria after 17 hours. (Round your answer to the nearest whole number.) (c) After how many hours will the bacteria count reach 1 million? (Round your answer to one decimal place.)
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!
This exercise uses the population growth model.
A certain culture of the bacterium Rhodobacter sphaeroides initially has 40 bacteria and is observed to double every 4 hours.
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