rchie is fed up with waiting in line at his local post office, and plans to contact his congresswoman. Archie knows that his complaint will not be well received without data to back it up. So to improve his case, over the next few months Archie records the waiting time for a selection of 27 post office visits made by him and other customers. These waiting times (in minutes) are summarized in the following frequency distribution. Waiting time (in minutes) Frequency 0 to 6 4 7 to 13 9 14 to 20 7 21 to 27 5 28 to 34 2 Based on the frequency distribution, using the midpoint of each data class, estimate the mean waiting time for the data Archie collected. For your intermediate computations, use four or more decimal places, and round your answer to one decimal place.
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!
rchie is fed up with waiting in line at his local post office, and plans to contact his congresswoman. Archie knows that his complaint will not be well received without data to back it up. So to improve his case, over the next few months Archie records the waiting time for a selection of
| Waiting time (in minutes) |
Frequency |
|---|---|
|
0
6
|
4
|
|
7
13
|
9
|
|
14
20
|
7
|
|
21
27
|
5
|
|
28
34
|
2
|
Based on the frequency distribution, using the midpoint of each data class, estimate the
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