Problem #4. A srnall company uses three computers to trade on the New York Stock

Question

Problem #4. A srnall company uses three computers to trade on the New York Stock o, an fail independently. Computers are repaired in the evening, and each day is an independent trial. Let us define two events as follows A: a specific computer fails on a day B: all three computers fail on the same day 1. What is the probability of event A occurs within a year? 2. What is the probability of event B occurs within a year? 3. What is the mean number of days until a specific computer fails? 4. What is the mean number of days until all three computers fail on the same day?

Explanation / Answer

1) Probablity of a specific failing in a year=1-P( not failing at all) = 1-(0.992)^365=0.9466

2) Probabiity of all failing on the same day= 0.008^3=0.000000512

P( event B) = 1-(1-0.000000512)^365=0.000186

3) Mean number of days=1/0.008=125

4) Mean number of days = 125^3= 1953125

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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