In a COVID-19 testing facility, samples from 4 persons are mixed together in a pooled sample. Then, the pooled sample is tested for the SARS-COV-2 virus traces: • If the pooled sample gives negative result, then none of the persons must have the SARS- CoV-2 virus (assuming accurate testing). • However, if the pooled sample gives postive result, then one or more persons must have the virus (assuming accurate testing). Consequently, individual samples need to be tested separately. If the estimated percentage of infected people(has) is 57%, what is the probability that a pooled sample gives negative result? O0.1056 00.1368 00.0342 00.4222
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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