0.05 a. For the population whose graph is wn above, discuss any restrictions needed to apply the Central Limit Theorem. O Since the population distribution is not normal, to use the C.L.T. you need n > 30 O Regardless of the population distribution, the C.L.T. always requires n > 30 O You can use the C.L.T. without any restrictions since the data is from a random sample You can use the C.L.T. without any restrictions since the Population distribution is Normal Now suppose that repeated samples of size n = 45 are taken from this population. Find to two decimal places: b. Hi: C. O:
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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