normally distributed with a mean of 125 seconds and a standard deviation of 22 seconds.
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 another local coffee shop, wait times for a cup of plain coffee are
a. What percentage of wait times for a cup of plain coffee are less than 90 seconds? Round the percentage to two decimal places.
%
b. What percentage of wait times for a cup of plain coffee are greater than 125 seconds?
%
c. What percentage of wait times for a cup of plain coffee are between 90 seconds and 125 seconds? Round your answer to two decimal places.
%
d. On a particular day, 200 people waited for a plain cup of coffee. How many of them would we expect to have waited between 90 seconds and 125 seconds to get their coffee? Round to the nearest whole number.
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