To find: the
Answer to Problem 96E
The probability that the person is a graduate student is
Explanation of Solution
Given:
40% mainly use a MAC.
67% are undergraduates.
23% of the graduates use mainly PC.
Concept used:
Definition conditional probability:
Calculation:
According to question, combining the given information to obtain the following two-way table:
Undergraduate | Graduate | Total | |
PC | 37% | 23% | 60% |
MAC | 30% | 10% | 40% |
Total | 67% | 33% | 100% |
Definition conditional probability:
Evaluate using the two-way table, thus obtained:
Hence,the probability that the person is a graduate student is
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