For a recent 10k run, the finishers are normally distributed with mean 56 minutes and standard deviation 10 minutes. 30th percentile is 50.76 minutes as answered previously. Interpret the 30th percentile. Select the correct choice below and fill in the answer box(es) to complete your choice. (Type integers or decimals rounded to two decimal places as needed.) A. This percentile is the value that is _____% greater than the smallest finishing time. B.This percentile means that _______% of the finishing times are equal to ____. C.This percentile means that _____% of the finishing times are less than _____. D. This percentile is the value that is _______% less than the average finishing time.
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!
minutes and standard deviation 10 minutes.
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