
Concept explainers
Determine the greater number of undergraduate students in college.

Answer to Problem 68E
College B has a larger number of undergraduate students than college A.
Explanation of Solution
Calculation:
Consider the probability that a randomly chosen student is a freshman; sophomore or junior is
Hence, it can be deducted that a randomly chosen student is a senior is
This quaetion involves weighted averages, with the weights representing the number of students at colleges A and B.
Whenever two groups are combined, their combined average or weighted average will always lie in between the individuals averages of the two groups.
In this case, it can be observed that
Furhter, the weighted average will always tend to lean towards the individual average with the greatest average.
In thus case, it is the college with the higher number of students.
Observe that the value of
Hence, it can be deduced that college B has a larger number of undergraduate students than college A.
Chapter 9 Solutions
Precalculus with Limits
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