A Service Counter Employs Two Servers

question 55

Multiple Choice

A service counter employs two servers.On average,a server requires 8 minutes to process a customer and service times follow an exponential distribution.Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.The probability that an arriving customer must wait for service is

• A)0.7111
• B)0.8000
• C)0.8576
• D)0.9327

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Definitions:

Thionyl Chloride

A reactive chemical compound with the formula SOCl2, widely used in organic synthesis for the conversion of carboxylic acids into acid chlorides.

Benzoic Acid

An aromatic carboxylic acid with the formula C6H5COOH, used in the manufacture of various esters and as a food preservative.

Methyl Acetate

A volatile, flammable liquid ester of acetic acid and methanol, used as a solvent in coatings, paints, and adhesives.

Acetyl Chloride

A colorless, corrosive liquid acyl chloride used as an acetylating agent in organic synthesis.