3) At a tollbooth for a bridge, 12 percent of all vehicles that pass state license plates. a) The toll booth is monitored for a short test period, to spot vehicles with out of state plates. Once the test begins, what is the probability that the 5th vehicle that passes through the toll booth is the first to have out of state plates? What is the average number of cars that pass through the toll booth before the first vehicle with out of state plates is observed? After 42 vehicles have passed through the toll booth, what is the probability 4 vehicles were observed to have out of state plates? b) c)
3) At a tollbooth for a bridge, 12 percent of all vehicles that pass state license plates. a) The toll booth is monitored for a short test period, to spot vehicles with out of state plates. Once the test begins, what is the probability that the 5th vehicle that passes through the toll booth is the first to have out of state plates? What is the average number of cars that pass through the toll booth before the first vehicle with out of state plates is observed? After 42 vehicles have passed through the toll booth, what is the probability 4 vehicles were observed to have out of state plates? b) c)
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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Transcribed Image Text:3) At a tollbooth for a bridge, 12 percent of all vehicles that pass through the toll booth have out of
state license plates.
a) The toll booth is monitored for a short test period, to spot vehicles with out of state plates.
Once the test begins, what is the probability that the 5th vehicle that passes through the toll
booth is the first to have out of state plates?
What is the average number of cars that pass through the toll booth before the first vehicle with
out of state plates is observed?
b)
c)
After 42 vehicles have passed through the toll booth, what is the probability 4 vehicles were
observed to have out of state plates?
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