At a local coffee shop, wait times for a cup of plain coffee are normally distributed with a mean of 90 seconds and a standard deviation of 15 seconds. a. What is the z-score of an 84-second wait time for a cup of plain coffee? Round your result to one decimal place. z= b. What percentile is associated with the z-score you calculated in part a? Round your answer to one decimal place. Percentile: %
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!
At a local coffee shop, wait times for a cup of plain coffee are
a. What is the z-score of an 84-second wait time for a cup of plain coffee? Round your result to one decimal place.
z=
b. What percentile is associated with the z-score you calculated in part a? Round your answer to one decimal place.
Percentile: %
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