Hi the context of the question has been attached, along with venn diagrams. Please answer the following questions:a) Calculate the probability of more than 20 vehicles per minute entering the cityb) Calculate the probability of observing more than 10 vehicles per minute on road B given that there are more than 7 vehicles per minute on road Bc)Calculate the probability of observing more than 8 and 10 vehicles per hour on road A and road B, simultaneously. Traffic into a city can be approached by two main roads; road A and road B. Trafficload on each road (measured in vehicles per minute) is a Poisson distributed randomvariable with mean arrival rates: A = 5 min-¹ and AB = 6 min-¹.Consider the traffic loads on the two roads to be independent. The blocking of trafficon each road are characterised by two events:A: blocking of traffic on road AB: blocking of traffic on road BThe probability of event A and B are P(A) = 0.10 and P(B)=0.25, respectively. No blocking of traffic on Road A0.0250.2250.075No blocking of traffic on Road A0.6750.6750.225No blocking of traffic on Road B0.075Blocking of traffic on Road B0.025

a) The number of vehicles arriving on each road follows a Poisson distribution with mean arrival…

Please answer the following questions: a) Calculate the probability of more than 20 vehicles per minute entering the city b) Calculate the probability of observing more than 10 vehicles per minute on road B given that there are more than 7 vehicles per minute on road B c)Calculate the probability of observing more than 8 and 10 vehicles per hour on road A and road B, simultaneously.

Please answer the following questions: a) Calculate the probability of more than 20 vehicles per minute entering the city b) Calculate the probability of observing more than 10 vehicles per minute on road B given that there are more than 7 vehicles per minute on road B c)Calculate the probability of observing more than 8 and 10 vehicles per hour on road A and road B, simultaneously.

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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