A trading company uses eight computers to trade on the New

Chapter 3, Problem 129E

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QUESTION:

Problem 129E

A trading company uses eight computers to trade on the New York Stock Exchange (NYSE). The probability of a computer failing in a day is 0.005, and the computers fail independently. Computers are repaired in the evening, and each day is an independent trial.

(a) What is the probability that all eight computers fail in a day?

(b) What is the mean number of days until a specific computer fails?

(c) What is the mean number of days until all eight computers fail on the same day?

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QUESTION:

Problem 129E

A trading company uses eight computers to trade on the New York Stock Exchange (NYSE). The probability of a computer failing in a day is 0.005, and the computers fail independently. Computers are repaired in the evening, and each day is an independent trial.

(a) What is the probability that all eight computers fail in a day?

(b) What is the mean number of days until a specific computer fails?

(c) What is the mean number of days until all eight computers fail on the same day?

ANSWER:

Solution:

Step 1 of 3:

A  trading company uses eight computers to trade on the New York Stock Exchange (NYSE).

The probability of a computer failing in a day is 0.005, and the computers fail independently.

Each day is an independent trial.

  1. We have to find the probability that all eight computers fail in a day.
  2. We have to find the mean number of days until a specific computer fails.
  3. We have to find the mean number of days until all eight computers fail on the same day.


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