Let X be a drug against COVID-19. The effectiveness of the drug is equal to the sum of the first 7 numbers in your dataset out of 100 total applications. For example, the sum of the first 7 numbers in my dataset is equal to 30, it means that the drug X has been effective in 30 out of 100 cases. I would like to test the hypothesis that the effectiveness of the drug X is equal to 90%. Obtain the asymptotic distribution of drug effectiveness p and test the two tailed hypothesis at a = 5%; Now suppose we have 2 drugs X and Y against COVID-19. The effectiveness of X in
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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