Public health records indicate that t weeks after the outbreak of COVID 19, approximately Q(t) = 20/(1 + 19^(1.2t)) thousand people had caught the disease, how many people had the disease when it broke out and at what time does the rate of infection begin to decline? If the trend continues, approximately how many people will eventually contract the disease?
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!
Public health records indicate that t weeks after the outbreak of COVID 19, approximately
Q(t) = 20/(1 + 19^(1.2t))
thousand people had caught the disease, how many people had the disease when it broke out and at what time does the rate of infection begin to decline?
If the trend continues, approximately how many people will eventually contract the disease?
Step by step
Solved in 2 steps with 2 images