Question

Part A (Based off week 10 workshop content) Receatly a study was performed on a Qareslad highaay regarding the quan- tity and speed of vehicles that use the road. It is your jo to determine the probabality of certain events with the use of probability distribations For each question, clearly state which probability distribution the random variable follows. You mast solve each peoblem by band and verify using a MATLAB function. 1. During the testing time, it was found that cars pass by at an average rate of 300 per hoar, with the time betwen cars being inlen What is the probability of seeing less than 3 cars in a minate 2 What is the probability of there being more than 1 minute between cars? 3. The speed of cars was found to Sollon a normal distribution with a mean of 95 km/h and a varisnce of 5 Given the speed limit is 100km/h, what is the probability that a radon ear is speeding 4. At any given point, what is the probability that at lest 2 out of the next 5 cars will be speeding

Answer 1

PART-A Let x deootos the number eļ Cov foss mom Per hour Avege 30o Covs Pas66s 300 - 5 Co PaSSes 0 4 (x -O-4405 nutt So y N exp(5) - J5 u-95 15

(4) 5 Samples oļ Coas among them Spoedij ustt 5 -t え20