A wireless telecommunication generator has 3 choices of places to build a signal

Question

A wireless telecommunication generator has 3 choices of places to build a signal transmitter that is in the center of the city, foothills and coastal areas, each having a probability of 0.2, 0.3 and 0.5. When the transmitter is built in the middle of the city, the chance of a signal interruption is 0.05. When the transmitter is built at the foot of the hill, the probability of a signal interruption is 0.06. When the transmitter is built on the beach, the chance of signal interference is 0.08. a. What is the probability of a signal interruption? b. If it is known that the signal has been interfered with, what are the chances that the operator has built a beach transmitter?

Explanation / Answer

a) P(Signal interruption)

= 0.2*0.05 + 0.3*0.06 + 0.5*0.08

= 0.068

b) P(Beach transmitter | Signal interrupted)

= P(Beach transmitter and signal interrupted) / P(Signal interrupted)

= (0.5*0.08) / 0.068

= 10/17

= 0.588

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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