Allthefourth-yearcivilengineeringstudentsatoneoftheCanadianuniversitiestookastandard- ized test. A total of 85% of the students were found to be proficient in structural enginnering, 78% were found to be proficient in geotechnical engineering, and 65% were found to be proficient in both structural and geotechnical engineering. A student is chosen at random. a)  What is the probability that the student is proficient in geotechnical engineering but not in structural engineering? b)  What is the probability that the student is proficient in structural engineering but not in geotechnical engineering? c)  What is the probability that the student is proficient in neither geotechnical nor structural engineering?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. Allthefourth-yearcivilengineeringstudentsatoneoftheCanadianuniversitiestookastandard- ized test. A total of 85% of the students were found to be proficient in structural enginnering, 78% were found to be proficient in geotechnical engineering, and 65% were found to be proficient in both structural and geotechnical engineering. A student is chosen at random.

    1. a)  What is the probability that the student is proficient in geotechnical engineering but not in structural engineering?

    2. b)  What is the probability that the student is proficient in structural engineering but not in geotechnical engineering?

    3. c)  What is the probability that the student is proficient in neither geotechnical nor structural engineering?

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