The Ritz Hotel has enough space for six taxicabs to loadpassengers, line up, and wait for guests at its entrance. Cabs arrive at the hotel every 10 minutes and if a taxi dri-ves by the hotel and the line is full it must drive on. Hotel guests require taxis every five minutes on average andthen it takes a cab driver an average of 3.5 minutes to load passengers and luggage and leave the hotel (expo-nentially distributed). a. What is the average time a cab must wait for a fare?b. What is the probability that the line will be full when acab drives by and it must drive on?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
The Ritz Hotel has enough space for six taxicabs to load
passengers, line up, and wait for guests at its entrance.
Cabs arrive at the hotel every 10 minutes and if a taxi dri-
ves by the hotel and the line is full it must drive on. Hotel
guests require taxis every five minutes on average and
then it takes a cab driver an average of 3.5 minutes to
load passengers and luggage and leave the hotel (expo-
nentially distributed).
a. What is the average time a cab must wait for a fare?
b. What is the probability that the line will be full when a
cab drives by and it must drive on?
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