7) A task force of 24 specialists is working on a project, some of them being en

Question

7) A task force of 24 specialists is working on a project, some of them being engineers, and some being financial experts. Of the 24 specialists, 12 have a background in mechanical engineering, trical. Also, 6 specializei engineering, 4 in both mechanical and electrical, and 4 in both civil and electrical engineering. Finally, 2 specialists have a background in all three disciplines. If a person is selected at random, what is the probability that the person a) is not a mechanical engineer? b) is either an electrical or civil engineer? c) has an engineering background? d) does not have a background in any of the three engineering disciplines?

Explanation / Answer

A) P(mechanical engineer) = 12/24 = 0.5

P(not a mechanical engineer) = 1 - P(mechanical engineer) = 1 - 0.5 = 0.5

B) P(electrical or civil) = P(electrical) + P(civil) - P(electrical and civil)

= 10/24 + 8/24 - 4/24

= 14/24

=0.5833

C) P(engineering background) = P(mechanical) + P(electrical) + P(civil) - P(mechanical and electrical) - P(mechanical and civil) - P(civil and electrical) + P(all three)

= 12/24 + 10/24 + 8/10 - 4/24 - 6/24 - 4/24 + 2/24

= 18/24

= 0.75

D) P(does not have engineering background) = 1 - P(engineering background) = 1 - 0.75 = 0.25

Related Questions

Navigate

• Browse (All)
• Browse 7
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.