Concept explainers
(a)
Density curve to model the amount of time after an hour at which a request is received by the web server including scales on both axes.
(a)

Answer to Problem 42E
When
Explanation of Solution
Given information:
The distribution has been modeled according to uniform distribution on the interval
Such that
And
Calculations:
With uniform distribution, the density curve is reciprocal to the difference of the boundaries.
On the interval between the boundaries,
With
(b)
Proportion of requests received within the first 300 seconds after the hour.
(b)

Answer to Problem 42E
About 0.0833 of the requests are received within first 300 seconds after the hour.
Explanation of Solution
Given information:
Time for receiving requests,
Calculations:
The area underneath the density curve for all the values preceding 300 will be the probability that the time of receiving requests is less than 300 seconds.
Note that
Area underneath the density curve will be the rectangle.
With
Width,
And
Height,
Then
Therefore,
About 0.0833 of the requests are received within first 300 seconds (5 minutes) after the hour.
(c)
(c)

Answer to Problem 42E
Interquartile
Explanation of Solution
Given information:
The distribution has been modeled according to uniform distribution on the interval
Such that
And
Calculations:
Interquartile range is the difference between the 1st and 3rd
The property of 1st quartile reveals that 25% of the data values are below it.
The property of 3rd quartile reveals that 75% of the data values are below it.
Although, the distribution is uniform between
Then
Although, the distribution is uniform between
Then
The difference between the 1st and 3rd quartile gives the interquartile range.
Thus,
The units of both interquartile range and data values will be the same.
Therefore,
The interquartile range is 1800 seconds.
Chapter 2 Solutions
EBK PRACTICE OF STAT.F/AP EXAM,UPDATED
Additional Math Textbook Solutions
Pre-Algebra Student Edition
College Algebra (7th Edition)
Calculus: Early Transcendentals (2nd Edition)
Elementary Statistics (13th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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