Posted by **Edward** on Sunday, March 1, 2009 at 1:08pm.

A set of telephone lines is to be installed so as to connect between town A and town B. The town A has 2000 telephones. If each of the telephone users of A were to be guaranteed instant access to make calls to B, 2000 telephone lines would be needed. This would be rather extravagant. Suppose that during the busiest hour of the day, each supscriber in A requires, on the average, a telephone connection to B for two minutes, and that these telephone calls are made at random. Find the minimum number M of telephone lines to B which must be installed so that at most, only 1% of the callers of town A will fail to have immediate access to a telephone line to B. (Suggestion!: approximate the distribution by a Gaussian distribution to facilitate the arithmetic)

## Answer this Question

## Related Questions

- Statistics - A set of telephone lines is to be installed so as to connect ...
- Math - One day we decided to dive from town A to town B. In order to get there ...
- math - One day we decided to drive from Town A to Town D. In order to get there ...
- Math - A motorist took a total of 4hr to drive from town A to town C. He took ...
- Math - One day we decidid to drive from town A to town D.In order to get there,...
- geometry - On a map, Town A is 8 km due south of Town B, Town C is 9 km from ...
- math - The Position of two A and B on the earth’s surface are (36°N, 49°E) and (...
- Maths - Karen took 1hour 45mins to drive from Town A to Town B. She took another...
- percentage - Karen took 1h 45m to drive from town a to town b.she took another ...
- math - At the first tri-city meeting there are 8 people from town A, 7 people ...