When a bus service reduces fares, a particular trip from New York City to Albany, New York, is very popular. A small bus can carry four passengers. The time between calls for tickets is exponentially distributed with a mean of 40 minutes. Assume that each caller orders one ticket. What is the probability that the bus is filled in less than 3 hours from the time of the fare reduction? Round your answer to 4 decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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When a bus service reduces fares, a
particular trip from New York City to
Albany, New York, is very popular. A small
bus can carry four passengers. The time
between calls for tickets is exponentially
distributed with a mean of 40 minutes.
Assume that each caller orders one ticket.
What is the probability that the bus is
filled in less than 3 hours from the time of
the fare reduction?
Round your answer to 4 decimal places.
Transcribed Image Text:When a bus service reduces fares, a particular trip from New York City to Albany, New York, is very popular. A small bus can carry four passengers. The time between calls for tickets is exponentially distributed with a mean of 40 minutes. Assume that each caller orders one ticket. What is the probability that the bus is filled in less than 3 hours from the time of the fare reduction? Round your answer to 4 decimal places.
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