The following table shows the time taken to complete a 100 m free se D. event by three members of a swimming team. Swimmer Best time (s) Mean time (s) Standard deviation G Mhar 56.4 58.8 0.5 Juriel 60.0 63.2 0.5 Vince 53.4 58.8 3.6 The coach has to select one swimmer for the next competition. If he wants to select the swimmer who has a chance to break the event record of 54.2 s, who should he choose? 1. If he wants to select a reliable swimmer who is likely to qualify fe the district competition by making a time better than 59 s, who should he choose? 2.
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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