Question

HELPP
Computer Reliability A certain university has a computer room with 219 terminals.
Each day, there is a 3% chance that a given terminal will break and a 70% chance that
a given broken terminal will be repaired. In the long run, about how many terminals in
the room will be working?

Answer 1

Using the concept of long run proportion, it is found that in the long run, approximately 217 terminals will be working.

• The long run proportion is the theoretical probability of a success on a trial, for example, the long run proportion of heads and tails in a series of fair coins thrown in 0.5.

In this problem:

• 100 - 3 = 97% of the terminals work.
• Of the 3% that do not work, 70% is repaired.

Thus, the long run proportion is given by:

$p = 0.97 + 0.03(0.7) = 0.991$

0.991 of the terminals are expected to work. Out of 219:

$0.991(219) = 217$

Approximately 217 terminals will be working.

A similar problem is given at https://brainly.com/question/15557838