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MATLAB In a traffic study of a street, the following information was gathered. • Cars passed by at...

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Advance Math

MATLAB

In a traffic study of a street, the following information wasgathered.

• Cars passed by at an average rate of 300 cars per hour.

• The speed of the cars was normally distributed, with anaverage speed of 58 km/h and a variance of 2 km^2/h^2 .

Based off this information, you are asked to solve thelikelihoods of certain events happening. For each question clearlyindicate the random variable and the distribution it follows, solveby hand and check your answer using MATLAB.

1. What is the probability that there is less than 10 secondstime difference between one car and the next?

2. What is the probability that more than 3 cars pass by in aminute?

3. The speed limit of the road is 60 km/h. What is theprobability that a random car is speeding?

4. What is the probability that there are no speeding carswithin a 10 minute period?

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