Find P(X > 2). Find the probability that there is no vehicle visiting the gas station within 20 minitues. (hint: using the fact that “the number of vehicles visiting a gas station per hour is 6", consider a different Poisson random variable Y which models the number of vehicles per 20-mininute. Finally, find P(Y > 0)).
Find P(X > 2). Find the probability that there is no vehicle visiting the gas station within 20 minitues. (hint: using the fact that “the number of vehicles visiting a gas station per hour is 6", consider a different Poisson random variable Y which models the number of vehicles per 20-mininute. Finally, find P(Y > 0)).
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:Consider using the Poisson random variable X to model the number of vehicles visiting a gas
station per hour. Assume that the (population average) number of vehicles visiting a gas station
per hour is 6, that is, X~Poisson(6).
(1) Find P(X > 2).
(2) Find the probability that there is no vehicle visiting the gas station within 20 minitues. (hint:
using the fact that "the number of vehicles visiting a gas station per hour is 6", consider a
different Poisson random variable Y which models the number of vehicles per 20-mininute.
Finally, find P(Y > 0)).
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