An Automobile Service Center Can Take Care of 8 Cars

question 106

Short Answer

An automobile service center can take care of 8 cars per day. Assume that the cars arrive at the service center randomly and independently of each other at a rate of 6 per hour, on average.
What is the standard deviation of the number of cars that arrive at the center?
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What is the probability of the service center being empty in any given hour?
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What is the probability that exactly 6 cars will be in the service center at any point during a given hour?
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What is the probability that less than 2 cars will be in the service center at any point during a given hour?
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Definitions:

Gastric Ulcer

A sore on the lining of the stomach caused by inflammation, often resulting from infection with H. pylori bacteria or long-term use of NSAIDs.

Small Bowel Obstruction

A medical condition where there is a blockage in the small intestine, preventing the normal passage of contents through the digestive tract.

Hemorrhoids

Swollen veins in the lowest part of the rectum and anus, causing discomfort, pain, and sometimes bleeding.

Stool Softener

A medication or substance used to soften the stool and ease the passage of bowel movements.