Problem. 5. In University A, about 52% of all students are male and 48% are fema
ID: 3329229 • Letter: P
Question
Problem. 5. In University A, about 52% of all students are male and 48% are female. We know 20% of male students and 5% of female students are engineering may Assume a student can only have one major. Randomly select a student from university A 1. What is the chance the student majors in engineering? 2. Given that the selected student majors in engineering, what is the chance the stu- dent is a female? 3. What is the chance the selected student is a male who does not major in engineer- ing? 4. Given that the selected student does not major in engineering, what is the chance that the student is a female?Explanation / Answer
1.
male female total
major in engineering 0.104 0.024 0,128
not major in engineering 0.416 0.456 0.872
Total 0.52 0.48 1.00
P(major in enginnering) = 0.128
2. P(female/major in enginnering) = P(female & major in engineering) / P(major in engineering)
= 0.024/0.128 = 0.1875
3. P(male & not major in engineering) = 0.416
4. P(female/not major in engineering) = P(female & not major in engineering)/P(not major in engineering)
= 0.456/0.872 = 0.5229
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